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Finding the Fourth Proportional to 870.10, 1,304.10 and 322

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Solution

The fourth proportional to 870.10, 1,304.10 and 322 is: 482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.10 : 1,304.10 = 322 : x
  2. Step 2: Convert to fraction form
    870.10/1,304.10 = 322/x
  3. Step 3: Cross multiply
    870.10x = 1,304.10 × 322
  4. Step 4: Simplify right side
    870.10x = 419,920.20
  5. Step 5: Solve for x
    x = 419,920.20/870.10
  6. Step 6: Final answer
    x = 482.61

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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.