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Finding the Fourth Proportional to 527.52, 728.04 and 303.54

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Solution

The fourth proportional to 527.52, 728.04 and 303.54 is: 418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 728.04 = 303.54 : x
  2. Step 2: Convert to fraction form
    527.52/728.04 = 303.54/x
  3. Step 3: Cross multiply
    527.52x = 728.04 × 303.54
  4. Step 4: Simplify right side
    527.52x = 220,989.26
  5. Step 5: Solve for x
    x = 220,989.26/527.52
  6. Step 6: Final answer
    x = 418.92

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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.