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Finding the Fourth Proportional to 526.20, 726.17 and 290.17

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Solution

The fourth proportional to 526.20, 726.17 and 290.17 is: 400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 726.17 = 290.17 : x
  2. Step 2: Convert to fraction form
    526.20/726.17 = 290.17/x
  3. Step 3: Cross multiply
    526.20x = 726.17 × 290.17
  4. Step 4: Simplify right side
    526.20x = 210,712.75
  5. Step 5: Solve for x
    x = 210,712.75/526.20
  6. Step 6: Final answer
    x = 400.44

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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.