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Finding the Fourth Proportional to 974, 1,461.16 and 324.89

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Solution

The fourth proportional to 974, 1,461.16 and 324.89 is: 487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,461.16 = 324.89 : x
  2. Step 2: Convert to fraction form
    974/1,461.16 = 324.89/x
  3. Step 3: Cross multiply
    974x = 1,461.16 × 324.89
  4. Step 4: Simplify right side
    974x = 474,716.27
  5. Step 5: Solve for x
    x = 474,716.27/974
  6. Step 6: Final answer
    x = 487.39

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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.