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Finding the Fourth Proportional to 318.69, 440.01 and 277.74

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Solution

The fourth proportional to 318.69, 440.01 and 277.74 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.69 : 440.01 = 277.74 : x
  2. Step 2: Convert to fraction form
    318.69/440.01 = 277.74/x
  3. Step 3: Cross multiply
    318.69x = 440.01 × 277.74
  4. Step 4: Simplify right side
    318.69x = 122,208.38
  5. Step 5: Solve for x
    x = 122,208.38/318.69
  6. Step 6: Final answer
    x = 383.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.