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Finding the Fourth Proportional to 532, 734.16 and 299.20

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Solution

The fourth proportional to 532, 734.16 and 299.20 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 734.16 = 299.20 : x
  2. Step 2: Convert to fraction form
    532/734.16 = 299.20/x
  3. Step 3: Cross multiply
    532x = 734.16 × 299.20
  4. Step 4: Simplify right side
    532x = 219,660.67
  5. Step 5: Solve for x
    x = 219,660.67/532
  6. Step 6: Final answer
    x = 412.90

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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.