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Finding the Fourth Proportional to 976.96, 1,464.16 and 399.52

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Solution

The fourth proportional to 976.96, 1,464.16 and 399.52 is: 598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.96 : 1,464.16 = 399.52 : x
  2. Step 2: Convert to fraction form
    976.96/1,464.16 = 399.52/x
  3. Step 3: Cross multiply
    976.96x = 1,464.16 × 399.52
  4. Step 4: Simplify right side
    976.96x = 584,961.20
  5. Step 5: Solve for x
    x = 584,961.20/976.96
  6. Step 6: Final answer
    x = 598.76

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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.