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Finding the Fourth Proportional to 425.21, 586.85 and 259.44

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Solution

The fourth proportional to 425.21, 586.85 and 259.44 is: 358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.21 : 586.85 = 259.44 : x
  2. Step 2: Convert to fraction form
    425.21/586.85 = 259.44/x
  3. Step 3: Cross multiply
    425.21x = 586.85 × 259.44
  4. Step 4: Simplify right side
    425.21x = 152,251.07
  5. Step 5: Solve for x
    x = 152,251.07/425.21
  6. Step 6: Final answer
    x = 358.07

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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.