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Finding the Fourth Proportional to 870.08, 1,304.64 and 382.55

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Solution

The fourth proportional to 870.08, 1,304.64 and 382.55 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.08 : 1,304.64 = 382.55 : x
  2. Step 2: Convert to fraction form
    870.08/1,304.64 = 382.55/x
  3. Step 3: Cross multiply
    870.08x = 1,304.64 × 382.55
  4. Step 4: Simplify right side
    870.08x = 499,093.29
  5. Step 5: Solve for x
    x = 499,093.29/870.08
  6. Step 6: Final answer
    x = 573.62

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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.