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Finding the Fourth Proportional to 870.06, 1,304.84 and 268.76

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Solution

The fourth proportional to 870.06, 1,304.84 and 268.76 is: 403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.06 : 1,304.84 = 268.76 : x
  2. Step 2: Convert to fraction form
    870.06/1,304.84 = 268.76/x
  3. Step 3: Cross multiply
    870.06x = 1,304.84 × 268.76
  4. Step 4: Simplify right side
    870.06x = 350,688.80
  5. Step 5: Solve for x
    x = 350,688.80/870.06
  6. Step 6: Final answer
    x = 403.06

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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.