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Finding the Fourth Proportional to 527.96, 728.60 and 306.90

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Solution

The fourth proportional to 527.96, 728.60 and 306.90 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.96 : 728.60 = 306.90 : x
  2. Step 2: Convert to fraction form
    527.96/728.60 = 306.90/x
  3. Step 3: Cross multiply
    527.96x = 728.60 × 306.90
  4. Step 4: Simplify right side
    527.96x = 223,607.34
  5. Step 5: Solve for x
    x = 223,607.34/527.96
  6. Step 6: Final answer
    x = 423.53

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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.