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Finding the Fourth Proportional to 500.02, 690.04 and 344.76

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Solution

The fourth proportional to 500.02, 690.04 and 344.76 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 690.04 = 344.76 : x
  2. Step 2: Convert to fraction form
    500.02/690.04 = 344.76/x
  3. Step 3: Cross multiply
    500.02x = 690.04 × 344.76
  4. Step 4: Simplify right side
    500.02x = 237,898.19
  5. Step 5: Solve for x
    x = 237,898.19/500.02
  6. Step 6: Final answer
    x = 475.78

Related Problems

Find fourth proportional to 250.01, 345.02 and 172.38
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.