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Finding the Fourth Proportional to 870.60, 1,306.30 and 323.04

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Solution

The fourth proportional to 870.60, 1,306.30 and 323.04 is: 484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.60 : 1,306.30 = 323.04 : x
  2. Step 2: Convert to fraction form
    870.60/1,306.30 = 323.04/x
  3. Step 3: Cross multiply
    870.60x = 1,306.30 × 323.04
  4. Step 4: Simplify right side
    870.60x = 421,987.15
  5. Step 5: Solve for x
    x = 421,987.15/870.60
  6. Step 6: Final answer
    x = 484.71

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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.