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Finding the Fourth Proportional to 527.16, 727.50 and 327.96

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Solution

The fourth proportional to 527.16, 727.50 and 327.96 is: 452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 727.50 = 327.96 : x
  2. Step 2: Convert to fraction form
    527.16/727.50 = 327.96/x
  3. Step 3: Cross multiply
    527.16x = 727.50 × 327.96
  4. Step 4: Simplify right side
    527.16x = 238,590.90
  5. Step 5: Solve for x
    x = 238,590.90/527.16
  6. Step 6: Final answer
    x = 452.60

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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.