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Finding the Fourth Proportional to 425.64, 587.70 and 338.16

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Solution

The fourth proportional to 425.64, 587.70 and 338.16 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.64 : 587.70 = 338.16 : x
  2. Step 2: Convert to fraction form
    425.64/587.70 = 338.16/x
  3. Step 3: Cross multiply
    425.64x = 587.70 × 338.16
  4. Step 4: Simplify right side
    425.64x = 198,736.63
  5. Step 5: Solve for x
    x = 198,736.63/425.64
  6. Step 6: Final answer
    x = 466.91

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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.