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Finding the Fourth Proportional to 499.28, 688.65 and 406.02

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Solution

The fourth proportional to 499.28, 688.65 and 406.02 is: 560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.28 : 688.65 = 406.02 : x
  2. Step 2: Convert to fraction form
    499.28/688.65 = 406.02/x
  3. Step 3: Cross multiply
    499.28x = 688.65 × 406.02
  4. Step 4: Simplify right side
    499.28x = 279,605.67
  5. Step 5: Solve for x
    x = 279,605.67/499.28
  6. Step 6: Final answer
    x = 560.02

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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.