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Finding the Fourth Proportional to 578.84, 797.96 and 412.99

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Solution

The fourth proportional to 578.84, 797.96 and 412.99 is: 569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.84 : 797.96 = 412.99 : x
  2. Step 2: Convert to fraction form
    578.84/797.96 = 412.99/x
  3. Step 3: Cross multiply
    578.84x = 797.96 × 412.99
  4. Step 4: Simplify right side
    578.84x = 329,548.54
  5. Step 5: Solve for x
    x = 329,548.54/578.84
  6. Step 6: Final answer
    x = 569.33

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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.