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Finding the Fourth Proportional to 630.43, 945.78 and 260.24

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Solution

The fourth proportional to 630.43, 945.78 and 260.24 is: 390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.43 : 945.78 = 260.24 : x
  2. Step 2: Convert to fraction form
    630.43/945.78 = 260.24/x
  3. Step 3: Cross multiply
    630.43x = 945.78 × 260.24
  4. Step 4: Simplify right side
    630.43x = 246,129.79
  5. Step 5: Solve for x
    x = 246,129.79/630.43
  6. Step 6: Final answer
    x = 390.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.