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Finding the Fourth Proportional to 527.81, 728.03 and 417.24

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Solution

The fourth proportional to 527.81, 728.03 and 417.24 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.81 : 728.03 = 417.24 : x
  2. Step 2: Convert to fraction form
    527.81/728.03 = 417.24/x
  3. Step 3: Cross multiply
    527.81x = 728.03 × 417.24
  4. Step 4: Simplify right side
    527.81x = 303,761.15
  5. Step 5: Solve for x
    x = 303,761.15/527.81
  6. Step 6: Final answer
    x = 575.52

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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.