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Finding the Fourth Proportional to 418.14, 577.11 and 278.26

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Solution

The fourth proportional to 418.14, 577.11 and 278.26 is: 384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 577.11 = 278.26 : x
  2. Step 2: Convert to fraction form
    418.14/577.11 = 278.26/x
  3. Step 3: Cross multiply
    418.14x = 577.11 × 278.26
  4. Step 4: Simplify right side
    418.14x = 160,586.63
  5. Step 5: Solve for x
    x = 160,586.63/418.14
  6. Step 6: Final answer
    x = 384.05

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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.