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Finding the Fourth Proportional to 976.98, 1,465.32 and 327.72

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Solution

The fourth proportional to 976.98, 1,465.32 and 327.72 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.98 : 1,465.32 = 327.72 : x
  2. Step 2: Convert to fraction form
    976.98/1,465.32 = 327.72/x
  3. Step 3: Cross multiply
    976.98x = 1,465.32 × 327.72
  4. Step 4: Simplify right side
    976.98x = 480,214.67
  5. Step 5: Solve for x
    x = 480,214.67/976.98
  6. Step 6: Final answer
    x = 491.53

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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.