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Finding the Fourth Proportional to 425.71, 588.36 and 347.68

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Solution

The fourth proportional to 425.71, 588.36 and 347.68 is: 480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.71 : 588.36 = 347.68 : x
  2. Step 2: Convert to fraction form
    425.71/588.36 = 347.68/x
  3. Step 3: Cross multiply
    425.71x = 588.36 × 347.68
  4. Step 4: Simplify right side
    425.71x = 204,561.00
  5. Step 5: Solve for x
    x = 204,561.00/425.71
  6. Step 6: Final answer
    x = 480.52

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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.