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Finding the Fourth Proportional to 976.02, 1,464.14 and 282.69

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Solution

The fourth proportional to 976.02, 1,464.14 and 282.69 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.02 : 1,464.14 = 282.69 : x
  2. Step 2: Convert to fraction form
    976.02/1,464.14 = 282.69/x
  3. Step 3: Cross multiply
    976.02x = 1,464.14 × 282.69
  4. Step 4: Simplify right side
    976.02x = 413,898.44
  5. Step 5: Solve for x
    x = 413,898.44/976.02
  6. Step 6: Final answer
    x = 424.07

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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.