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Finding the Fourth Proportional to 630.27, 945.41 and 265.05

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Solution

The fourth proportional to 630.27, 945.41 and 265.05 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.27 : 945.41 = 265.05 : x
  2. Step 2: Convert to fraction form
    630.27/945.41 = 265.05/x
  3. Step 3: Cross multiply
    630.27x = 945.41 × 265.05
  4. Step 4: Simplify right side
    630.27x = 250,579.60
  5. Step 5: Solve for x
    x = 250,579.60/630.27
  6. Step 6: Final answer
    x = 397.58

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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.