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Finding the Fourth Proportional to 854.16, 1,280.72 and 306.32

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Solution

The fourth proportional to 854.16, 1,280.72 and 306.32 is: 459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.16 : 1,280.72 = 306.32 : x
  2. Step 2: Convert to fraction form
    854.16/1,280.72 = 306.32/x
  3. Step 3: Cross multiply
    854.16x = 1,280.72 × 306.32
  4. Step 4: Simplify right side
    854.16x = 392,310.15
  5. Step 5: Solve for x
    x = 392,310.15/854.16
  6. Step 6: Final answer
    x = 459.29

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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.