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Finding the Fourth Proportional to 578.04, 797.82 and 404.20

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Solution

The fourth proportional to 578.04, 797.82 and 404.20 is: 557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 797.82 = 404.20 : x
  2. Step 2: Convert to fraction form
    578.04/797.82 = 404.20/x
  3. Step 3: Cross multiply
    578.04x = 797.82 × 404.20
  4. Step 4: Simplify right side
    578.04x = 322,478.84
  5. Step 5: Solve for x
    x = 322,478.84/578.04
  6. Step 6: Final answer
    x = 557.88

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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.