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Finding the Fourth Proportional to 527.16, 727.59 and 330.54

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Solution

The fourth proportional to 527.16, 727.59 and 330.54 is: 456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 727.59 = 330.54 : x
  2. Step 2: Convert to fraction form
    527.16/727.59 = 330.54/x
  3. Step 3: Cross multiply
    527.16x = 727.59 × 330.54
  4. Step 4: Simplify right side
    527.16x = 240,497.60
  5. Step 5: Solve for x
    x = 240,497.60/527.16
  6. Step 6: Final answer
    x = 456.21

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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.