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Finding the Fourth Proportional to 418.19, 577.09 and 229.13

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Solution

The fourth proportional to 418.19, 577.09 and 229.13 is: 316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.19 : 577.09 = 229.13 : x
  2. Step 2: Convert to fraction form
    418.19/577.09 = 229.13/x
  3. Step 3: Cross multiply
    418.19x = 577.09 × 229.13
  4. Step 4: Simplify right side
    418.19x = 132,225.17
  5. Step 5: Solve for x
    x = 132,225.17/418.19
  6. Step 6: Final answer
    x = 316.18

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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.