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Finding the Fourth Proportional to 854.46, 1,281.42 and 415.71

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Solution

The fourth proportional to 854.46, 1,281.42 and 415.71 is: 623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.46 : 1,281.42 = 415.71 : x
  2. Step 2: Convert to fraction form
    854.46/1,281.42 = 415.71/x
  3. Step 3: Cross multiply
    854.46x = 1,281.42 × 415.71
  4. Step 4: Simplify right side
    854.46x = 532,699.11
  5. Step 5: Solve for x
    x = 532,699.11/854.46
  6. Step 6: Final answer
    x = 623.43

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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.