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Finding the Fourth Proportional to 969.48, 1,454.46 and 421.52

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Solution

The fourth proportional to 969.48, 1,454.46 and 421.52 is: 632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.48 : 1,454.46 = 421.52 : x
  2. Step 2: Convert to fraction form
    969.48/1,454.46 = 421.52/x
  3. Step 3: Cross multiply
    969.48x = 1,454.46 × 421.52
  4. Step 4: Simplify right side
    969.48x = 613,083.98
  5. Step 5: Solve for x
    x = 613,083.98/969.48
  6. Step 6: Final answer
    x = 632.38

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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.