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Finding the Fourth Proportional to 386.26, 578.48 and 203.11

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Solution

The fourth proportional to 386.26, 578.48 and 203.11 is: 304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 578.48 = 203.11 : x
  2. Step 2: Convert to fraction form
    386.26/578.48 = 203.11/x
  3. Step 3: Cross multiply
    386.26x = 578.48 × 203.11
  4. Step 4: Simplify right side
    386.26x = 117,492.61
  5. Step 5: Solve for x
    x = 117,492.61/386.26
  6. Step 6: Final answer
    x = 304.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.