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Finding the Fourth Proportional to 532.21, 734.38 and 296.14

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Solution

The fourth proportional to 532.21, 734.38 and 296.14 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.21 : 734.38 = 296.14 : x
  2. Step 2: Convert to fraction form
    532.21/734.38 = 296.14/x
  3. Step 3: Cross multiply
    532.21x = 734.38 × 296.14
  4. Step 4: Simplify right side
    532.21x = 217,479.29
  5. Step 5: Solve for x
    x = 217,479.29/532.21
  6. Step 6: Final answer
    x = 408.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.