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Finding the Fourth Proportional to 854.40, 1,281.60 and 415.68

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Solution

The fourth proportional to 854.40, 1,281.60 and 415.68 is: 623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.40 : 1,281.60 = 415.68 : x
  2. Step 2: Convert to fraction form
    854.40/1,281.60 = 415.68/x
  3. Step 3: Cross multiply
    854.40x = 1,281.60 × 415.68
  4. Step 4: Simplify right side
    854.40x = 532,735.49
  5. Step 5: Solve for x
    x = 532,735.49/854.40
  6. Step 6: Final answer
    x = 623.52

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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.