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Finding the Fourth Proportional to 526.80, 726.12 and 410.16

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Solution

The fourth proportional to 526.80, 726.12 and 410.16 is: 565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 726.12 = 410.16 : x
  2. Step 2: Convert to fraction form
    526.80/726.12 = 410.16/x
  3. Step 3: Cross multiply
    526.80x = 726.12 × 410.16
  4. Step 4: Simplify right side
    526.80x = 297,825.38
  5. Step 5: Solve for x
    x = 297,825.38/526.80
  6. Step 6: Final answer
    x = 565.35

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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.