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Finding the Fourth Proportional to 525.71, 726.22 and 498.04

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Solution

The fourth proportional to 525.71, 726.22 and 498.04 is: 687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.71 : 726.22 = 498.04 : x
  2. Step 2: Convert to fraction form
    525.71/726.22 = 498.04/x
  3. Step 3: Cross multiply
    525.71x = 726.22 × 498.04
  4. Step 4: Simplify right side
    525.71x = 361,684.52
  5. Step 5: Solve for x
    x = 361,684.52/525.71
  6. Step 6: Final answer
    x = 687.99

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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.