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Finding the Fourth Proportional to 870.61, 1,306.10 and 254.33

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Solution

The fourth proportional to 870.61, 1,306.10 and 254.33 is: 381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.61 : 1,306.10 = 254.33 : x
  2. Step 2: Convert to fraction form
    870.61/1,306.10 = 254.33/x
  3. Step 3: Cross multiply
    870.61x = 1,306.10 × 254.33
  4. Step 4: Simplify right side
    870.61x = 332,180.41
  5. Step 5: Solve for x
    x = 332,180.41/870.61
  6. Step 6: Final answer
    x = 381.55

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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.