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Finding the Fourth Proportional to 527.04, 726.84 and 461.16

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Solution

The fourth proportional to 527.04, 726.84 and 461.16 is: 635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.04 : 726.84 = 461.16 : x
  2. Step 2: Convert to fraction form
    527.04/726.84 = 461.16/x
  3. Step 3: Cross multiply
    527.04x = 726.84 × 461.16
  4. Step 4: Simplify right side
    527.04x = 335,189.53
  5. Step 5: Solve for x
    x = 335,189.53/527.04
  6. Step 6: Final answer
    x = 635.99

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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.