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Finding the Fourth Proportional to 630.81, 945.65 and 265.41

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Solution

The fourth proportional to 630.81, 945.65 and 265.41 is: 397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.81 : 945.65 = 265.41 : x
  2. Step 2: Convert to fraction form
    630.81/945.65 = 265.41/x
  3. Step 3: Cross multiply
    630.81x = 945.65 × 265.41
  4. Step 4: Simplify right side
    630.81x = 250,985.63
  5. Step 5: Solve for x
    x = 250,985.63/630.81
  6. Step 6: Final answer
    x = 397.88

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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.