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Finding the Fourth Proportional to 532.08, 734.21 and 332.62

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Solution

The fourth proportional to 532.08, 734.21 and 332.62 is: 458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 734.21 = 332.62 : x
  2. Step 2: Convert to fraction form
    532.08/734.21 = 332.62/x
  3. Step 3: Cross multiply
    532.08x = 734.21 × 332.62
  4. Step 4: Simplify right side
    532.08x = 244,212.93
  5. Step 5: Solve for x
    x = 244,212.93/532.08
  6. Step 6: Final answer
    x = 458.98

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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.