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Finding the Fourth Proportional to 527.60, 727.92 and 403.44

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Solution

The fourth proportional to 527.60, 727.92 and 403.44 is: 556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.60 : 727.92 = 403.44 : x
  2. Step 2: Convert to fraction form
    527.60/727.92 = 403.44/x
  3. Step 3: Cross multiply
    527.60x = 727.92 × 403.44
  4. Step 4: Simplify right side
    527.60x = 293,672.04
  5. Step 5: Solve for x
    x = 293,672.04/527.60
  6. Step 6: Final answer
    x = 556.62

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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.