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Finding the Fourth Proportional to 526.13, 726.19 and 360.29

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Solution

The fourth proportional to 526.13, 726.19 and 360.29 is: 497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.13 : 726.19 = 360.29 : x
  2. Step 2: Convert to fraction form
    526.13/726.19 = 360.29/x
  3. Step 3: Cross multiply
    526.13x = 726.19 × 360.29
  4. Step 4: Simplify right side
    526.13x = 261,635.82
  5. Step 5: Solve for x
    x = 261,635.82/526.13
  6. Step 6: Final answer
    x = 497.28

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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.