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Finding the Fourth Proportional to 578.77, 799.34 and 403.81

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Solution

The fourth proportional to 578.77, 799.34 and 403.81 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.77 : 799.34 = 403.81 : x
  2. Step 2: Convert to fraction form
    578.77/799.34 = 403.81/x
  3. Step 3: Cross multiply
    578.77x = 799.34 × 403.81
  4. Step 4: Simplify right side
    578.77x = 322,781.49
  5. Step 5: Solve for x
    x = 322,781.49/578.77
  6. Step 6: Final answer
    x = 557.70

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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.