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Finding the Fourth Proportional to 976.46, 1,464.65 and 283.12

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Solution

The fourth proportional to 976.46, 1,464.65 and 283.12 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.46 : 1,464.65 = 283.12 : x
  2. Step 2: Convert to fraction form
    976.46/1,464.65 = 283.12/x
  3. Step 3: Cross multiply
    976.46x = 1,464.65 × 283.12
  4. Step 4: Simplify right side
    976.46x = 414,669.29
  5. Step 5: Solve for x
    x = 414,669.29/976.46
  6. Step 6: Final answer
    x = 424.66

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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.