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Finding the Fourth Proportional to 456.88, 630.54 and 260.42

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Solution

The fourth proportional to 456.88, 630.54 and 260.42 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.88 : 630.54 = 260.42 : x
  2. Step 2: Convert to fraction form
    456.88/630.54 = 260.42/x
  3. Step 3: Cross multiply
    456.88x = 630.54 × 260.42
  4. Step 4: Simplify right side
    456.88x = 164,205.23
  5. Step 5: Solve for x
    x = 164,205.23/456.88
  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.