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Finding the Fourth Proportional to 425.27, 586.97 and 259.58

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Solution

The fourth proportional to 425.27, 586.97 and 259.58 is: 358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.27 : 586.97 = 259.58 : x
  2. Step 2: Convert to fraction form
    425.27/586.97 = 259.58/x
  3. Step 3: Cross multiply
    425.27x = 586.97 × 259.58
  4. Step 4: Simplify right side
    425.27x = 152,363.39
  5. Step 5: Solve for x
    x = 152,363.39/425.27
  6. Step 6: Final answer
    x = 358.28

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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.