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Finding the Fourth Proportional to 426.41, 588 and 316.10

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Solution

The fourth proportional to 426.41, 588 and 316.10 is: 435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.41 : 588 = 316.10 : x
  2. Step 2: Convert to fraction form
    426.41/588 = 316.10/x
  3. Step 3: Cross multiply
    426.41x = 588 × 316.10
  4. Step 4: Simplify right side
    426.41x = 185,866.80
  5. Step 5: Solve for x
    x = 185,866.80/426.41
  6. Step 6: Final answer
    x = 435.89

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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.