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Finding the Fourth Proportional to 390.84, 538.70 and 272.85

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Solution

The fourth proportional to 390.84, 538.70 and 272.85 is: 376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 538.70 = 272.85 : x
  2. Step 2: Convert to fraction form
    390.84/538.70 = 272.85/x
  3. Step 3: Cross multiply
    390.84x = 538.70 × 272.85
  4. Step 4: Simplify right side
    390.84x = 146,982.93
  5. Step 5: Solve for x
    x = 146,982.93/390.84
  6. Step 6: Final answer
    x = 376.07

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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.