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Finding the Fourth Proportional to 456.90, 630.56 and 260.43

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Solution

The fourth proportional to 456.90, 630.56 and 260.43 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 630.56 = 260.43 : x
  2. Step 2: Convert to fraction form
    456.90/630.56 = 260.43/x
  3. Step 3: Cross multiply
    456.90x = 630.56 × 260.43
  4. Step 4: Simplify right side
    456.90x = 164,215.44
  5. Step 5: Solve for x
    x = 164,215.44/456.90
  6. Step 6: Final answer
    x = 359.41

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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.