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Finding the Fourth Proportional to 418.58, 577.64 and 232.07

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Solution

The fourth proportional to 418.58, 577.64 and 232.07 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.58 : 577.64 = 232.07 : x
  2. Step 2: Convert to fraction form
    418.58/577.64 = 232.07/x
  3. Step 3: Cross multiply
    418.58x = 577.64 × 232.07
  4. Step 4: Simplify right side
    418.58x = 134,052.39
  5. Step 5: Solve for x
    x = 134,052.39/418.58
  6. Step 6: Final answer
    x = 320.25

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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.