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Finding the Fourth Proportional to 499.77, 688.24 and 498.25

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Solution

The fourth proportional to 499.77, 688.24 and 498.25 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.77 : 688.24 = 498.25 : x
  2. Step 2: Convert to fraction form
    499.77/688.24 = 498.25/x
  3. Step 3: Cross multiply
    499.77x = 688.24 × 498.25
  4. Step 4: Simplify right side
    499.77x = 342,917.06
  5. Step 5: Solve for x
    x = 342,917.06/499.77
  6. Step 6: Final answer
    x = 686.15

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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.