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Finding the Fourth Proportional to 456.82, 630.42 and 260.34

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Solution

The fourth proportional to 456.82, 630.42 and 260.34 is: 359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.82 : 630.42 = 260.34 : x
  2. Step 2: Convert to fraction form
    456.82/630.42 = 260.34/x
  3. Step 3: Cross multiply
    456.82x = 630.42 × 260.34
  4. Step 4: Simplify right side
    456.82x = 164,123.54
  5. Step 5: Solve for x
    x = 164,123.54/456.82
  6. Step 6: Final answer
    x = 359.27

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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.