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Finding the Fourth Proportional to 976.19, 1,464.32 and 282.83

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Solution

The fourth proportional to 976.19, 1,464.32 and 282.83 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.19 : 1,464.32 = 282.83 : x
  2. Step 2: Convert to fraction form
    976.19/1,464.32 = 282.83/x
  3. Step 3: Cross multiply
    976.19x = 1,464.32 × 282.83
  4. Step 4: Simplify right side
    976.19x = 414,147.01
  5. Step 5: Solve for x
    x = 414,147.01/976.19
  6. Step 6: Final answer
    x = 424.25

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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.