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Finding the Fourth Proportional to 418.44, 577.49 and 302.07

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Solution

The fourth proportional to 418.44, 577.49 and 302.07 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.44 : 577.49 = 302.07 : x
  2. Step 2: Convert to fraction form
    418.44/577.49 = 302.07/x
  3. Step 3: Cross multiply
    418.44x = 577.49 × 302.07
  4. Step 4: Simplify right side
    418.44x = 174,440.89
  5. Step 5: Solve for x
    x = 174,440.89/418.44
  6. Step 6: Final answer
    x = 416.88

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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.