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Finding the Fourth Proportional to 418.49, 577.52 and 232.01

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Solution

The fourth proportional to 418.49, 577.52 and 232.01 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.49 : 577.52 = 232.01 : x
  2. Step 2: Convert to fraction form
    418.49/577.52 = 232.01/x
  3. Step 3: Cross multiply
    418.49x = 577.52 × 232.01
  4. Step 4: Simplify right side
    418.49x = 133,990.70
  5. Step 5: Solve for x
    x = 133,990.70/418.49
  6. Step 6: Final answer
    x = 320.17

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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.