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Finding the Fourth Proportional to 675.68, 932.40 and 426.96

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Solution

The fourth proportional to 675.68, 932.40 and 426.96 is: 589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.68 : 932.40 = 426.96 : x
  2. Step 2: Convert to fraction form
    675.68/932.40 = 426.96/x
  3. Step 3: Cross multiply
    675.68x = 932.40 × 426.96
  4. Step 4: Simplify right side
    675.68x = 398,097.50
  5. Step 5: Solve for x
    x = 398,097.50/675.68
  6. Step 6: Final answer
    x = 589.18

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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.