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Finding the Fourth Proportional to 869.42, 1,304.14 and 314.16

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Solution

The fourth proportional to 869.42, 1,304.14 and 314.16 is: 471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.42 : 1,304.14 = 314.16 : x
  2. Step 2: Convert to fraction form
    869.42/1,304.14 = 314.16/x
  3. Step 3: Cross multiply
    869.42x = 1,304.14 × 314.16
  4. Step 4: Simplify right side
    869.42x = 409,708.62
  5. Step 5: Solve for x
    x = 409,708.62/869.42
  6. Step 6: Final answer
    x = 471.24

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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.