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Finding the Fourth Proportional to 527.25, 728.01 and 410.61

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Solution

The fourth proportional to 527.25, 728.01 and 410.61 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 728.01 = 410.61 : x
  2. Step 2: Convert to fraction form
    527.25/728.01 = 410.61/x
  3. Step 3: Cross multiply
    527.25x = 728.01 × 410.61
  4. Step 4: Simplify right side
    527.25x = 298,928.19
  5. Step 5: Solve for x
    x = 298,928.19/527.25
  6. Step 6: Final answer
    x = 566.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.