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Finding the Fourth Proportional to 425.60, 586.66 and 338.12

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Solution

The fourth proportional to 425.60, 586.66 and 338.12 is: 466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.60 : 586.66 = 338.12 : x
  2. Step 2: Convert to fraction form
    425.60/586.66 = 338.12/x
  3. Step 3: Cross multiply
    425.60x = 586.66 × 338.12
  4. Step 4: Simplify right side
    425.60x = 198,361.48
  5. Step 5: Solve for x
    x = 198,361.48/425.60
  6. Step 6: Final answer
    x = 466.07

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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.