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Finding the Fourth Proportional to 578.11, 797.72 and 368.20

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Solution

The fourth proportional to 578.11, 797.72 and 368.20 is: 508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.11 : 797.72 = 368.20 : x
  2. Step 2: Convert to fraction form
    578.11/797.72 = 368.20/x
  3. Step 3: Cross multiply
    578.11x = 797.72 × 368.20
  4. Step 4: Simplify right side
    578.11x = 293,723.33
  5. Step 5: Solve for x
    x = 293,723.33/578.11
  6. Step 6: Final answer
    x = 508.07

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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.