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Finding the Fourth Proportional to 425.12, 586.78 and 270.14

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Solution

The fourth proportional to 425.12, 586.78 and 270.14 is: 372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.12 : 586.78 = 270.14 : x
  2. Step 2: Convert to fraction form
    425.12/586.78 = 270.14/x
  3. Step 3: Cross multiply
    425.12x = 586.78 × 270.14
  4. Step 4: Simplify right side
    425.12x = 158,509.14
  5. Step 5: Solve for x
    x = 158,509.14/425.12
  6. Step 6: Final answer
    x = 372.86

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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.