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Finding the Fourth Proportional to 432.30, 647.42 and 354.72

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Solution

The fourth proportional to 432.30, 647.42 and 354.72 is: 531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.30 : 647.42 = 354.72 : x
  2. Step 2: Convert to fraction form
    432.30/647.42 = 354.72/x
  3. Step 3: Cross multiply
    432.30x = 647.42 × 354.72
  4. Step 4: Simplify right side
    432.30x = 229,651.05
  5. Step 5: Solve for x
    x = 229,651.05/432.30
  6. Step 6: Final answer
    x = 531.23

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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.