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Finding the Fourth Proportional to 870.68, 1,306.02 and 293.57

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Solution

The fourth proportional to 870.68, 1,306.02 and 293.57 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.68 : 1,306.02 = 293.57 : x
  2. Step 2: Convert to fraction form
    870.68/1,306.02 = 293.57/x
  3. Step 3: Cross multiply
    870.68x = 1,306.02 × 293.57
  4. Step 4: Simplify right side
    870.68x = 383,408.29
  5. Step 5: Solve for x
    x = 383,408.29/870.68
  6. Step 6: Final answer
    x = 440.36

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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.