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Finding the Fourth Proportional to 456.98, 630.75 and 282.22

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Solution

The fourth proportional to 456.98, 630.75 and 282.22 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 630.75 = 282.22 : x
  2. Step 2: Convert to fraction form
    456.98/630.75 = 282.22/x
  3. Step 3: Cross multiply
    456.98x = 630.75 × 282.22
  4. Step 4: Simplify right side
    456.98x = 178,008.85
  5. Step 5: Solve for x
    x = 178,008.85/456.98
  6. Step 6: Final answer
    x = 389.54

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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.