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Finding the Fourth Proportional to 675.08, 931.64 and 426.20

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Solution

The fourth proportional to 675.08, 931.64 and 426.20 is: 588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.08 : 931.64 = 426.20 : x
  2. Step 2: Convert to fraction form
    675.08/931.64 = 426.20/x
  3. Step 3: Cross multiply
    675.08x = 931.64 × 426.20
  4. Step 4: Simplify right side
    675.08x = 397,064.97
  5. Step 5: Solve for x
    x = 397,064.97/675.08
  6. Step 6: Final answer
    x = 588.17

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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.