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Finding the Fourth Proportional to 530.92, 796.20 and 349.28

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Solution

The fourth proportional to 530.92, 796.20 and 349.28 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.92 : 796.20 = 349.28 : x
  2. Step 2: Convert to fraction form
    530.92/796.20 = 349.28/x
  3. Step 3: Cross multiply
    530.92x = 796.20 × 349.28
  4. Step 4: Simplify right side
    530.92x = 278,096.74
  5. Step 5: Solve for x
    x = 278,096.74/530.92
  6. Step 6: Final answer
    x = 523.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.