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Finding the Fourth Proportional to 418.65, 577.76 and 232.15

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Solution

The fourth proportional to 418.65, 577.76 and 232.15 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.65 : 577.76 = 232.15 : x
  2. Step 2: Convert to fraction form
    418.65/577.76 = 232.15/x
  3. Step 3: Cross multiply
    418.65x = 577.76 × 232.15
  4. Step 4: Simplify right side
    418.65x = 134,124.10
  5. Step 5: Solve for x
    x = 134,124.10/418.65
  6. Step 6: Final answer
    x = 320.38

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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.