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Finding the Fourth Proportional to 971.86, 1,458.06 and 323.04

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Solution

The fourth proportional to 971.86, 1,458.06 and 323.04 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.86 : 1,458.06 = 323.04 : x
  2. Step 2: Convert to fraction form
    971.86/1,458.06 = 323.04/x
  3. Step 3: Cross multiply
    971.86x = 1,458.06 × 323.04
  4. Step 4: Simplify right side
    971.86x = 471,011.70
  5. Step 5: Solve for x
    x = 471,011.70/971.86
  6. Step 6: Final answer
    x = 484.65

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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.