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Finding the Fourth Proportional to 526.03, 726.18 and 407.74

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Solution

The fourth proportional to 526.03, 726.18 and 407.74 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.03 : 726.18 = 407.74 : x
  2. Step 2: Convert to fraction form
    526.03/726.18 = 407.74/x
  3. Step 3: Cross multiply
    526.03x = 726.18 × 407.74
  4. Step 4: Simplify right side
    526.03x = 296,092.63
  5. Step 5: Solve for x
    x = 296,092.63/526.03
  6. Step 6: Final answer
    x = 562.88

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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.