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Finding the Fourth Proportional to 836.27, 1,254.05 and 315.98

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Solution

The fourth proportional to 836.27, 1,254.05 and 315.98 is: 473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.27 : 1,254.05 = 315.98 : x
  2. Step 2: Convert to fraction form
    836.27/1,254.05 = 315.98/x
  3. Step 3: Cross multiply
    836.27x = 1,254.05 × 315.98
  4. Step 4: Simplify right side
    836.27x = 396,259.81
  5. Step 5: Solve for x
    x = 396,259.81/836.27
  6. Step 6: Final answer
    x = 473.84

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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.