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Finding the Fourth Proportional to 418.57, 577.59 and 232.02

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Solution

The fourth proportional to 418.57, 577.59 and 232.02 is: 320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.57 : 577.59 = 232.02 : x
  2. Step 2: Convert to fraction form
    418.57/577.59 = 232.02/x
  3. Step 3: Cross multiply
    418.57x = 577.59 × 232.02
  4. Step 4: Simplify right side
    418.57x = 134,009.54
  5. Step 5: Solve for x
    x = 134,009.54/418.57
  6. Step 6: Final answer
    x = 320.16

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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.