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Finding the Fourth Proportional to 527.28, 727.66 and 350.54

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Solution

The fourth proportional to 527.28, 727.66 and 350.54 is: 483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.28 : 727.66 = 350.54 : x
  2. Step 2: Convert to fraction form
    527.28/727.66 = 350.54/x
  3. Step 3: Cross multiply
    527.28x = 727.66 × 350.54
  4. Step 4: Simplify right side
    527.28x = 255,072.18
  5. Step 5: Solve for x
    x = 255,072.18/527.28
  6. Step 6: Final answer
    x = 483.75

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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.