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Finding the Fourth Proportional to 869.42, 1,304.13 and 220.16

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Solution

The fourth proportional to 869.42, 1,304.13 and 220.16 is: 330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.42 : 1,304.13 = 220.16 : x
  2. Step 2: Convert to fraction form
    869.42/1,304.13 = 220.16/x
  3. Step 3: Cross multiply
    869.42x = 1,304.13 × 220.16
  4. Step 4: Simplify right side
    869.42x = 287,111.29
  5. Step 5: Solve for x
    x = 287,111.29/869.42
  6. Step 6: Final answer
    x = 330.23

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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.