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Finding the Fourth Proportional to 527.12, 727.76 and 330.84

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Solution

The fourth proportional to 527.12, 727.76 and 330.84 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 727.76 = 330.84 : x
  2. Step 2: Convert to fraction form
    527.12/727.76 = 330.84/x
  3. Step 3: Cross multiply
    527.12x = 727.76 × 330.84
  4. Step 4: Simplify right side
    527.12x = 240,772.12
  5. Step 5: Solve for x
    x = 240,772.12/527.12
  6. Step 6: Final answer
    x = 456.77

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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.