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Finding the Fourth Proportional to 425.28, 586.73 and 301.15

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Solution

The fourth proportional to 425.28, 586.73 and 301.15 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.28 : 586.73 = 301.15 : x
  2. Step 2: Convert to fraction form
    425.28/586.73 = 301.15/x
  3. Step 3: Cross multiply
    425.28x = 586.73 × 301.15
  4. Step 4: Simplify right side
    425.28x = 176,693.74
  5. Step 5: Solve for x
    x = 176,693.74/425.28
  6. Step 6: Final answer
    x = 415.48

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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.