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Finding the Fourth Proportional to 418.84, 578.15 and 288.03

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Solution

The fourth proportional to 418.84, 578.15 and 288.03 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.84 : 578.15 = 288.03 : x
  2. Step 2: Convert to fraction form
    418.84/578.15 = 288.03/x
  3. Step 3: Cross multiply
    418.84x = 578.15 × 288.03
  4. Step 4: Simplify right side
    418.84x = 166,524.54
  5. Step 5: Solve for x
    x = 166,524.54/418.84
  6. Step 6: Final answer
    x = 397.59

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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.