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Finding the Fourth Proportional to 532.07, 734.25 and 299.18

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Solution

The fourth proportional to 532.07, 734.25 and 299.18 is: 412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.07 : 734.25 = 299.18 : x
  2. Step 2: Convert to fraction form
    532.07/734.25 = 299.18/x
  3. Step 3: Cross multiply
    532.07x = 734.25 × 299.18
  4. Step 4: Simplify right side
    532.07x = 219,672.92
  5. Step 5: Solve for x
    x = 219,672.92/532.07
  6. Step 6: Final answer
    x = 412.86

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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.