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Finding the Fourth Proportional to 674.47, 931.26 and 425.98

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Solution

The fourth proportional to 674.47, 931.26 and 425.98 is: 588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.47 : 931.26 = 425.98 : x
  2. Step 2: Convert to fraction form
    674.47/931.26 = 425.98/x
  3. Step 3: Cross multiply
    674.47x = 931.26 × 425.98
  4. Step 4: Simplify right side
    674.47x = 396,698.13
  5. Step 5: Solve for x
    x = 396,698.13/674.47
  6. Step 6: Final answer
    x = 588.16

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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.