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Finding the Fourth Proportional to 418.65, 577.87 and 294.34

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Solution

The fourth proportional to 418.65, 577.87 and 294.34 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.65 : 577.87 = 294.34 : x
  2. Step 2: Convert to fraction form
    418.65/577.87 = 294.34/x
  3. Step 3: Cross multiply
    418.65x = 577.87 × 294.34
  4. Step 4: Simplify right side
    418.65x = 170,090.26
  5. Step 5: Solve for x
    x = 170,090.26/418.65
  6. Step 6: Final answer
    x = 406.28

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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.