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Finding the Fourth Proportional to 475.33, 711.68 and 243.72

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Solution

The fourth proportional to 475.33, 711.68 and 243.72 is: 364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.33 : 711.68 = 243.72 : x
  2. Step 2: Convert to fraction form
    475.33/711.68 = 243.72/x
  3. Step 3: Cross multiply
    475.33x = 711.68 × 243.72
  4. Step 4: Simplify right side
    475.33x = 173,445.87
  5. Step 5: Solve for x
    x = 173,445.87/475.33
  6. Step 6: Final answer
    x = 364.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.