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Finding the Fourth Proportional to 969.32, 1,454.14 and 353.10

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Solution

The fourth proportional to 969.32, 1,454.14 and 353.10 is: 529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.32 : 1,454.14 = 353.10 : x
  2. Step 2: Convert to fraction form
    969.32/1,454.14 = 353.10/x
  3. Step 3: Cross multiply
    969.32x = 1,454.14 × 353.10
  4. Step 4: Simplify right side
    969.32x = 513,456.83
  5. Step 5: Solve for x
    x = 513,456.83/969.32
  6. Step 6: Final answer
    x = 529.71

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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.