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Finding the Fourth Proportional to 870.41, 1,304.79 and 292.88

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Solution

The fourth proportional to 870.41, 1,304.79 and 292.88 is: 439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.41 : 1,304.79 = 292.88 : x
  2. Step 2: Convert to fraction form
    870.41/1,304.79 = 292.88/x
  3. Step 3: Cross multiply
    870.41x = 1,304.79 × 292.88
  4. Step 4: Simplify right side
    870.41x = 382,140.37
  5. Step 5: Solve for x
    x = 382,140.37/870.41
  6. Step 6: Final answer
    x = 439.04

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