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Finding the Fourth Proportional to 870.08, 1,304.24 and 322.16

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Solution

The fourth proportional to 870.08, 1,304.24 and 322.16 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.08 : 1,304.24 = 322.16 : x
  2. Step 2: Convert to fraction form
    870.08/1,304.24 = 322.16/x
  3. Step 3: Cross multiply
    870.08x = 1,304.24 × 322.16
  4. Step 4: Simplify right side
    870.08x = 420,173.96
  5. Step 5: Solve for x
    x = 420,173.96/870.08
  6. Step 6: Final answer
    x = 482.91

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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.