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Finding the Fourth Proportional to 499.80, 690.04 and 342.70

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Solution

The fourth proportional to 499.80, 690.04 and 342.70 is: 473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.80 : 690.04 = 342.70 : x
  2. Step 2: Convert to fraction form
    499.80/690.04 = 342.70/x
  3. Step 3: Cross multiply
    499.80x = 690.04 × 342.70
  4. Step 4: Simplify right side
    499.80x = 236,476.71
  5. Step 5: Solve for x
    x = 236,476.71/499.80
  6. Step 6: Final answer
    x = 473.14

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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.