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Finding the Fourth Proportional to 854.52, 1,281.76 and 246.52

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Solution

The fourth proportional to 854.52, 1,281.76 and 246.52 is: 369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.52 : 1,281.76 = 246.52 : x
  2. Step 2: Convert to fraction form
    854.52/1,281.76 = 246.52/x
  3. Step 3: Cross multiply
    854.52x = 1,281.76 × 246.52
  4. Step 4: Simplify right side
    854.52x = 315,979.48
  5. Step 5: Solve for x
    x = 315,979.48/854.52
  6. Step 6: Final answer
    x = 369.77

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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.