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Finding the Fourth Proportional to 418.39, 577.42 and 294.35

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Solution

The fourth proportional to 418.39, 577.42 and 294.35 is: 406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.39 : 577.42 = 294.35 : x
  2. Step 2: Convert to fraction form
    418.39/577.42 = 294.35/x
  3. Step 3: Cross multiply
    418.39x = 577.42 × 294.35
  4. Step 4: Simplify right side
    418.39x = 169,962.20
  5. Step 5: Solve for x
    x = 169,962.20/418.39
  6. Step 6: Final answer
    x = 406.23

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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.