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Finding the Fourth Proportional to 365.28, 503.82 and 278.16

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Solution

The fourth proportional to 365.28, 503.82 and 278.16 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 503.82 = 278.16 : x
  2. Step 2: Convert to fraction form
    365.28/503.82 = 278.16/x
  3. Step 3: Cross multiply
    365.28x = 503.82 × 278.16
  4. Step 4: Simplify right side
    365.28x = 140,142.57
  5. Step 5: Solve for x
    x = 140,142.57/365.28
  6. Step 6: Final answer
    x = 383.66

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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.