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Finding the Fourth Proportional to 532.26, 734.53 and 311.20

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Solution

The fourth proportional to 532.26, 734.53 and 311.20 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 734.53 = 311.20 : x
  2. Step 2: Convert to fraction form
    532.26/734.53 = 311.20/x
  3. Step 3: Cross multiply
    532.26x = 734.53 × 311.20
  4. Step 4: Simplify right side
    532.26x = 228,585.74
  5. Step 5: Solve for x
    x = 228,585.74/532.26
  6. Step 6: Final answer
    x = 429.46

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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.