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Finding the Fourth Proportional to 418.84, 577.80 and 263.56

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Solution

The fourth proportional to 418.84, 577.80 and 263.56 is: 363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.84 : 577.80 = 263.56 : x
  2. Step 2: Convert to fraction form
    418.84/577.80 = 263.56/x
  3. Step 3: Cross multiply
    418.84x = 577.80 × 263.56
  4. Step 4: Simplify right side
    418.84x = 152,284.97
  5. Step 5: Solve for x
    x = 152,284.97/418.84
  6. Step 6: Final answer
    x = 363.59

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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.