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Finding the Fourth Proportional to 425.28, 587.23 and 346.61

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Solution

The fourth proportional to 425.28, 587.23 and 346.61 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.28 : 587.23 = 346.61 : x
  2. Step 2: Convert to fraction form
    425.28/587.23 = 346.61/x
  3. Step 3: Cross multiply
    425.28x = 587.23 × 346.61
  4. Step 4: Simplify right side
    425.28x = 203,536.85
  5. Step 5: Solve for x
    x = 203,536.85/425.28
  6. Step 6: Final answer
    x = 478.60

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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.