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Finding the Fourth Proportional to 675.65, 931.46 and 426.84

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Solution

The fourth proportional to 675.65, 931.46 and 426.84 is: 588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.65 : 931.46 = 426.84 : x
  2. Step 2: Convert to fraction form
    675.65/931.46 = 426.84/x
  3. Step 3: Cross multiply
    675.65x = 931.46 × 426.84
  4. Step 4: Simplify right side
    675.65x = 397,582.25
  5. Step 5: Solve for x
    x = 397,582.25/675.65
  6. Step 6: Final answer
    x = 588.45

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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.