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Finding the Fourth Proportional to 418.64, 577.91 and 276.94

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Solution

The fourth proportional to 418.64, 577.91 and 276.94 is: 382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 577.91 = 276.94 : x
  2. Step 2: Convert to fraction form
    418.64/577.91 = 276.94/x
  3. Step 3: Cross multiply
    418.64x = 577.91 × 276.94
  4. Step 4: Simplify right side
    418.64x = 160,045.64
  5. Step 5: Solve for x
    x = 160,045.64/418.64
  6. Step 6: Final answer
    x = 382.30

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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.