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Finding the Fourth Proportional to 418.57, 577.60 and 232.06

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Solution

The fourth proportional to 418.57, 577.60 and 232.06 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.57 : 577.60 = 232.06 : x
  2. Step 2: Convert to fraction form
    418.57/577.60 = 232.06/x
  3. Step 3: Cross multiply
    418.57x = 577.60 × 232.06
  4. Step 4: Simplify right side
    418.57x = 134,037.86
  5. Step 5: Solve for x
    x = 134,037.86/418.57
  6. Step 6: Final answer
    x = 320.23

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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.