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Finding the Fourth Proportional to 562.59, 772.20 and 499.02

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Solution

The fourth proportional to 562.59, 772.20 and 499.02 is: 684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.59 : 772.20 = 499.02 : x
  2. Step 2: Convert to fraction form
    562.59/772.20 = 499.02/x
  3. Step 3: Cross multiply
    562.59x = 772.20 × 499.02
  4. Step 4: Simplify right side
    562.59x = 385,343.24
  5. Step 5: Solve for x
    x = 385,343.24/562.59
  6. Step 6: Final answer
    x = 684.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.