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Finding the Fourth Proportional to 869.74, 1,304.67 and 293.02

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Solution

The fourth proportional to 869.74, 1,304.67 and 293.02 is: 439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.74 : 1,304.67 = 293.02 : x
  2. Step 2: Convert to fraction form
    869.74/1,304.67 = 293.02/x
  3. Step 3: Cross multiply
    869.74x = 1,304.67 × 293.02
  4. Step 4: Simplify right side
    869.74x = 382,294.40
  5. Step 5: Solve for x
    x = 382,294.40/869.74
  6. Step 6: Final answer
    x = 439.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.