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Finding the Fourth Proportional to 527.12, 727.14 and 330.60

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Solution

The fourth proportional to 527.12, 727.14 and 330.60 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 727.14 = 330.60 : x
  2. Step 2: Convert to fraction form
    527.12/727.14 = 330.60/x
  3. Step 3: Cross multiply
    527.12x = 727.14 × 330.60
  4. Step 4: Simplify right side
    527.12x = 240,392.48
  5. Step 5: Solve for x
    x = 240,392.48/527.12
  6. Step 6: Final answer
    x = 456.05

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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.