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Finding the Fourth Proportional to 456.96, 630.54 and 282.36

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Solution

The fourth proportional to 456.96, 630.54 and 282.36 is: 389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 630.54 = 282.36 : x
  2. Step 2: Convert to fraction form
    456.96/630.54 = 282.36/x
  3. Step 3: Cross multiply
    456.96x = 630.54 × 282.36
  4. Step 4: Simplify right side
    456.96x = 178,039.27
  5. Step 5: Solve for x
    x = 178,039.27/456.96
  6. Step 6: Final answer
    x = 389.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.