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Finding the Fourth Proportional to 532.50, 734.86 and 296.46

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Solution

The fourth proportional to 532.50, 734.86 and 296.46 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 734.86 = 296.46 : x
  2. Step 2: Convert to fraction form
    532.50/734.86 = 296.46/x
  3. Step 3: Cross multiply
    532.50x = 734.86 × 296.46
  4. Step 4: Simplify right side
    532.50x = 217,856.60
  5. Step 5: Solve for x
    x = 217,856.60/532.50
  6. Step 6: Final answer
    x = 409.12

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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.