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Finding the Fourth Proportional to 462.51, 638.19 and 276.00

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Solution

The fourth proportional to 462.51, 638.19 and 276.00 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 638.19 = 276.00 : x
  2. Step 2: Convert to fraction form
    462.51/638.19 = 276.00/x
  3. Step 3: Cross multiply
    462.51x = 638.19 × 276.00
  4. Step 4: Simplify right side
    462.51x = 176,135.87
  5. Step 5: Solve for x
    x = 176,135.87/462.51
  6. Step 6: Final answer
    x = 380.83

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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.