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Finding the Fourth Proportional to 527.80, 727.50 and 411.16

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Solution

The fourth proportional to 527.80, 727.50 and 411.16 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.80 : 727.50 = 411.16 : x
  2. Step 2: Convert to fraction form
    527.80/727.50 = 411.16/x
  3. Step 3: Cross multiply
    527.80x = 727.50 × 411.16
  4. Step 4: Simplify right side
    527.80x = 299,118.90
  5. Step 5: Solve for x
    x = 299,118.90/527.80
  6. Step 6: Final answer
    x = 566.73

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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.