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Finding the Fourth Proportional to 418.26, 577.02 and 293.88

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Solution

The fourth proportional to 418.26, 577.02 and 293.88 is: 405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 577.02 = 293.88 : x
  2. Step 2: Convert to fraction form
    418.26/577.02 = 293.88/x
  3. Step 3: Cross multiply
    418.26x = 577.02 × 293.88
  4. Step 4: Simplify right side
    418.26x = 169,574.64
  5. Step 5: Solve for x
    x = 169,574.64/418.26
  6. Step 6: Final answer
    x = 405.43

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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.