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Finding the Fourth Proportional to 397.18, 594.61 and 232.15

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Solution

The fourth proportional to 397.18, 594.61 and 232.15 is: 347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.18 : 594.61 = 232.15 : x
  2. Step 2: Convert to fraction form
    397.18/594.61 = 232.15/x
  3. Step 3: Cross multiply
    397.18x = 594.61 × 232.15
  4. Step 4: Simplify right side
    397.18x = 138,038.71
  5. Step 5: Solve for x
    x = 138,038.71/397.18
  6. Step 6: Final answer
    x = 347.55

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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.