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Finding the Fourth Proportional to 532.81, 734.69 and 385.52

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Solution

The fourth proportional to 532.81, 734.69 and 385.52 is: 531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.81 : 734.69 = 385.52 : x
  2. Step 2: Convert to fraction form
    532.81/734.69 = 385.52/x
  3. Step 3: Cross multiply
    532.81x = 734.69 × 385.52
  4. Step 4: Simplify right side
    532.81x = 283,235.76
  5. Step 5: Solve for x
    x = 283,235.76/532.81
  6. Step 6: Final answer
    x = 531.59

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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.