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Finding the Fourth Proportional to 456.78, 630.35 and 260.29

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Solution

The fourth proportional to 456.78, 630.35 and 260.29 is: 359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 630.35 = 260.29 : x
  2. Step 2: Convert to fraction form
    456.78/630.35 = 260.29/x
  3. Step 3: Cross multiply
    456.78x = 630.35 × 260.29
  4. Step 4: Simplify right side
    456.78x = 164,073.80
  5. Step 5: Solve for x
    x = 164,073.80/456.78
  6. Step 6: Final answer
    x = 359.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.