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Finding the Fourth Proportional to 976.96, 1,465.36 and 318.76

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Solution

The fourth proportional to 976.96, 1,465.36 and 318.76 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.96 : 1,465.36 = 318.76 : x
  2. Step 2: Convert to fraction form
    976.96/1,465.36 = 318.76/x
  3. Step 3: Cross multiply
    976.96x = 1,465.36 × 318.76
  4. Step 4: Simplify right side
    976.96x = 467,098.15
  5. Step 5: Solve for x
    x = 467,098.15/976.96
  6. Step 6: Final answer
    x = 478.11

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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.