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Finding the Fourth Proportional to 370.98, 512.01 and 277.61

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Solution

The fourth proportional to 370.98, 512.01 and 277.61 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.98 : 512.01 = 277.61 : x
  2. Step 2: Convert to fraction form
    370.98/512.01 = 277.61/x
  3. Step 3: Cross multiply
    370.98x = 512.01 × 277.61
  4. Step 4: Simplify right side
    370.98x = 142,136.54
  5. Step 5: Solve for x
    x = 142,136.54/370.98
  6. Step 6: Final answer
    x = 383.14

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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.