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Finding the Fourth Proportional to 418.53, 577.57 and 232.02

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Solution

The fourth proportional to 418.53, 577.57 and 232.02 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.53 : 577.57 = 232.02 : x
  2. Step 2: Convert to fraction form
    418.53/577.57 = 232.02/x
  3. Step 3: Cross multiply
    418.53x = 577.57 × 232.02
  4. Step 4: Simplify right side
    418.53x = 134,006.35
  5. Step 5: Solve for x
    x = 134,006.35/418.53
  6. Step 6: Final answer
    x = 320.19

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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.