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Finding the Fourth Proportional to 500.32, 690.20 and 334.58

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Solution

The fourth proportional to 500.32, 690.20 and 334.58 is: 461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 690.20 = 334.58 : x
  2. Step 2: Convert to fraction form
    500.32/690.20 = 334.58/x
  3. Step 3: Cross multiply
    500.32x = 690.20 × 334.58
  4. Step 4: Simplify right side
    500.32x = 230,921.99
  5. Step 5: Solve for x
    x = 230,921.99/500.32
  6. Step 6: Final answer
    x = 461.55

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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.