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Finding the Fourth Proportional to 974.18, 1,461.27 and 324.96

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Solution

The fourth proportional to 974.18, 1,461.27 and 324.96 is: 487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,461.27 = 324.96 : x
  2. Step 2: Convert to fraction form
    974.18/1,461.27 = 324.96/x
  3. Step 3: Cross multiply
    974.18x = 1,461.27 × 324.96
  4. Step 4: Simplify right side
    974.18x = 474,854.30
  5. Step 5: Solve for x
    x = 474,854.30/974.18
  6. Step 6: Final answer
    x = 487.44

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Double scale
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1.5x scale

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.