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Finding the Fourth Proportional to 456.90, 630.48 and 260.42

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Solution

The fourth proportional to 456.90, 630.48 and 260.42 is: 359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 630.48 = 260.42 : x
  2. Step 2: Convert to fraction form
    456.90/630.48 = 260.42/x
  3. Step 3: Cross multiply
    456.90x = 630.48 × 260.42
  4. Step 4: Simplify right side
    456.90x = 164,189.60
  5. Step 5: Solve for x
    x = 164,189.60/456.90
  6. Step 6: Final answer
    x = 359.36

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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.