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Finding the Fourth Proportional to 418.46, 577.41 and 278.79

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Solution

The fourth proportional to 418.46, 577.41 and 278.79 is: 384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.46 : 577.41 = 278.79 : x
  2. Step 2: Convert to fraction form
    418.46/577.41 = 278.79/x
  3. Step 3: Cross multiply
    418.46x = 577.41 × 278.79
  4. Step 4: Simplify right side
    418.46x = 160,973.25
  5. Step 5: Solve for x
    x = 160,973.25/418.46
  6. Step 6: Final answer
    x = 384.68

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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.