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Finding the Fourth Proportional to 425.73, 587.07 and 392.64

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Solution

The fourth proportional to 425.73, 587.07 and 392.64 is: 541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.73 : 587.07 = 392.64 : x
  2. Step 2: Convert to fraction form
    425.73/587.07 = 392.64/x
  3. Step 3: Cross multiply
    425.73x = 587.07 × 392.64
  4. Step 4: Simplify right side
    425.73x = 230,507.16
  5. Step 5: Solve for x
    x = 230,507.16/425.73
  6. Step 6: Final answer
    x = 541.44

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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.