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Finding the Fourth Proportional to 353.57, 530.31 and 97.07

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Solution

The fourth proportional to 353.57, 530.31 and 97.07 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 530.31 = 97.07 : x
  2. Step 2: Convert to fraction form
    353.57/530.31 = 97.07/x
  3. Step 3: Cross multiply
    353.57x = 530.31 × 97.07
  4. Step 4: Simplify right side
    353.57x = 51,474.90
  5. Step 5: Solve for x
    x = 51,474.90/353.57
  6. Step 6: Final answer
    x = 145.59

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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.