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Finding the Fourth Proportional to 974, 1,459.88 and 324.56

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Solution

The fourth proportional to 974, 1,459.88 and 324.56 is: 486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,459.88 = 324.56 : x
  2. Step 2: Convert to fraction form
    974/1,459.88 = 324.56/x
  3. Step 3: Cross multiply
    974x = 1,459.88 × 324.56
  4. Step 4: Simplify right side
    974x = 473,818.65
  5. Step 5: Solve for x
    x = 473,818.65/974
  6. Step 6: Final answer
    x = 486.47

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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.