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Finding the Fourth Proportional to 530.82, 732.36 and 344.46

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Solution

The fourth proportional to 530.82, 732.36 and 344.46 is: 475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 732.36 = 344.46 : x
  2. Step 2: Convert to fraction form
    530.82/732.36 = 344.46/x
  3. Step 3: Cross multiply
    530.82x = 732.36 × 344.46
  4. Step 4: Simplify right side
    530.82x = 252,268.73
  5. Step 5: Solve for x
    x = 252,268.73/530.82
  6. Step 6: Final answer
    x = 475.24

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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.