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Finding the Fourth Proportional to 425.96, 588.02 and 301.72

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Solution

The fourth proportional to 425.96, 588.02 and 301.72 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.96 : 588.02 = 301.72 : x
  2. Step 2: Convert to fraction form
    425.96/588.02 = 301.72/x
  3. Step 3: Cross multiply
    425.96x = 588.02 × 301.72
  4. Step 4: Simplify right side
    425.96x = 177,417.39
  5. Step 5: Solve for x
    x = 177,417.39/425.96
  6. Step 6: Final answer
    x = 416.51

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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.