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Finding the Fourth Proportional to 532.20, 734.43 and 311.18

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Solution

The fourth proportional to 532.20, 734.43 and 311.18 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.20 : 734.43 = 311.18 : x
  2. Step 2: Convert to fraction form
    532.20/734.43 = 311.18/x
  3. Step 3: Cross multiply
    532.20x = 734.43 × 311.18
  4. Step 4: Simplify right side
    532.20x = 228,537.42
  5. Step 5: Solve for x
    x = 228,537.42/532.20
  6. Step 6: Final answer
    x = 429.42

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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.