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Finding the Fourth Proportional to 578.12, 798.74 and 404.24

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Solution

The fourth proportional to 578.12, 798.74 and 404.24 is: 558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.12 : 798.74 = 404.24 : x
  2. Step 2: Convert to fraction form
    578.12/798.74 = 404.24/x
  3. Step 3: Cross multiply
    578.12x = 798.74 × 404.24
  4. Step 4: Simplify right side
    578.12x = 322,876.64
  5. Step 5: Solve for x
    x = 322,876.64/578.12
  6. Step 6: Final answer
    x = 558.50

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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.