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Finding the Fourth Proportional to 976.44, 1,464.84 and 327.63

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Solution

The fourth proportional to 976.44, 1,464.84 and 327.63 is: 491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.44 : 1,464.84 = 327.63 : x
  2. Step 2: Convert to fraction form
    976.44/1,464.84 = 327.63/x
  3. Step 3: Cross multiply
    976.44x = 1,464.84 × 327.63
  4. Step 4: Simplify right side
    976.44x = 479,925.53
  5. Step 5: Solve for x
    x = 479,925.53/976.44
  6. Step 6: Final answer
    x = 491.51

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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.