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Finding the Fourth Proportional to 426.70, 588.36 and 347.93

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Solution

The fourth proportional to 426.70, 588.36 and 347.93 is: 479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.70 : 588.36 = 347.93 : x
  2. Step 2: Convert to fraction form
    426.70/588.36 = 347.93/x
  3. Step 3: Cross multiply
    426.70x = 588.36 × 347.93
  4. Step 4: Simplify right side
    426.70x = 204,708.09
  5. Step 5: Solve for x
    x = 204,708.09/426.70
  6. Step 6: Final answer
    x = 479.75

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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.