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Finding the Fourth Proportional to 353.52, 530.24 and 97

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Solution

The fourth proportional to 353.52, 530.24 and 97 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.52 : 530.24 = 97 : x
  2. Step 2: Convert to fraction form
    353.52/530.24 = 97/x
  3. Step 3: Cross multiply
    353.52x = 530.24 × 97
  4. Step 4: Simplify right side
    353.52x = 51,433.28
  5. Step 5: Solve for x
    x = 51,433.28/353.52
  6. Step 6: Final answer
    x = 145.49

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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.