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Finding the Fourth Proportional to 578.74, 798.75 and 401.95

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Solution

The fourth proportional to 578.74, 798.75 and 401.95 is: 554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.74 : 798.75 = 401.95 : x
  2. Step 2: Convert to fraction form
    578.74/798.75 = 401.95/x
  3. Step 3: Cross multiply
    578.74x = 798.75 × 401.95
  4. Step 4: Simplify right side
    578.74x = 321,053.57
  5. Step 5: Solve for x
    x = 321,053.57/578.74
  6. Step 6: Final answer
    x = 554.75

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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.