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Finding the Fourth Proportional to 578.89, 798.63 and 404.34

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Solution

The fourth proportional to 578.89, 798.63 and 404.34 is: 557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.89 : 798.63 = 404.34 : x
  2. Step 2: Convert to fraction form
    578.89/798.63 = 404.34/x
  3. Step 3: Cross multiply
    578.89x = 798.63 × 404.34
  4. Step 4: Simplify right side
    578.89x = 322,918.05
  5. Step 5: Solve for x
    x = 322,918.05/578.89
  6. Step 6: Final answer
    x = 557.82

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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.