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Finding the Fourth Proportional to 976.40, 1,464.76 and 292.56

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Solution

The fourth proportional to 976.40, 1,464.76 and 292.56 is: 438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.40 : 1,464.76 = 292.56 : x
  2. Step 2: Convert to fraction form
    976.40/1,464.76 = 292.56/x
  3. Step 3: Cross multiply
    976.40x = 1,464.76 × 292.56
  4. Step 4: Simplify right side
    976.40x = 428,530.19
  5. Step 5: Solve for x
    x = 428,530.19/976.40
  6. Step 6: Final answer
    x = 438.89

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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.