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Finding the Fourth Proportional to 969, 1,454.52 and 421.44

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Solution

The fourth proportional to 969, 1,454.52 and 421.44 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 1,454.52 = 421.44 : x
  2. Step 2: Convert to fraction form
    969/1,454.52 = 421.44/x
  3. Step 3: Cross multiply
    969x = 1,454.52 × 421.44
  4. Step 4: Simplify right side
    969x = 612,992.91
  5. Step 5: Solve for x
    x = 612,992.91/969
  6. Step 6: Final answer
    x = 632.60

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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.