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Finding the Fourth Proportional to 383.14, 527.61 and 278.04

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Solution

The fourth proportional to 383.14, 527.61 and 278.04 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.14 : 527.61 = 278.04 : x
  2. Step 2: Convert to fraction form
    383.14/527.61 = 278.04/x
  3. Step 3: Cross multiply
    383.14x = 527.61 × 278.04
  4. Step 4: Simplify right side
    383.14x = 146,699.71
  5. Step 5: Solve for x
    x = 146,699.71/383.14
  6. Step 6: Final answer
    x = 382.89

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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.