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Finding the Fourth Proportional to 431.48, 647.42 and 316.04

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Solution

The fourth proportional to 431.48, 647.42 and 316.04 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.48 : 647.42 = 316.04 : x
  2. Step 2: Convert to fraction form
    431.48/647.42 = 316.04/x
  3. Step 3: Cross multiply
    431.48x = 647.42 × 316.04
  4. Step 4: Simplify right side
    431.48x = 204,610.62
  5. Step 5: Solve for x
    x = 204,610.62/431.48
  6. Step 6: Final answer
    x = 474.21

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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.