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Finding the Fourth Proportional to 425.38, 587.38 and 294.16

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Solution

The fourth proportional to 425.38, 587.38 and 294.16 is: 406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.38 : 587.38 = 294.16 : x
  2. Step 2: Convert to fraction form
    425.38/587.38 = 294.16/x
  3. Step 3: Cross multiply
    425.38x = 587.38 × 294.16
  4. Step 4: Simplify right side
    425.38x = 172,783.70
  5. Step 5: Solve for x
    x = 172,783.70/425.38
  6. Step 6: Final answer
    x = 406.19

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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.