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Finding the Fourth Proportional to 969.54, 1,454.16 and 311.50

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Solution

The fourth proportional to 969.54, 1,454.16 and 311.50 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.54 : 1,454.16 = 311.50 : x
  2. Step 2: Convert to fraction form
    969.54/1,454.16 = 311.50/x
  3. Step 3: Cross multiply
    969.54x = 1,454.16 × 311.50
  4. Step 4: Simplify right side
    969.54x = 452,967.20
  5. Step 5: Solve for x
    x = 452,967.20/969.54
  6. Step 6: Final answer
    x = 467.20

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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.