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Finding the Fourth Proportional to 424.97, 586.34 and 259.17

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Solution

The fourth proportional to 424.97, 586.34 and 259.17 is: 357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.97 : 586.34 = 259.17 : x
  2. Step 2: Convert to fraction form
    424.97/586.34 = 259.17/x
  3. Step 3: Cross multiply
    424.97x = 586.34 × 259.17
  4. Step 4: Simplify right side
    424.97x = 151,961.74
  5. Step 5: Solve for x
    x = 151,961.74/424.97
  6. Step 6: Final answer
    x = 357.59

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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.