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Finding the Fourth Proportional to 530.96, 732.48 and 344.38

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Solution

The fourth proportional to 530.96, 732.48 and 344.38 is: 475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 732.48 = 344.38 : x
  2. Step 2: Convert to fraction form
    530.96/732.48 = 344.38/x
  3. Step 3: Cross multiply
    530.96x = 732.48 × 344.38
  4. Step 4: Simplify right side
    530.96x = 252,251.46
  5. Step 5: Solve for x
    x = 252,251.46/530.96
  6. Step 6: Final answer
    x = 475.09

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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.