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Finding the Fourth Proportional to 386.02, 578.67 and 203.14

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Solution

The fourth proportional to 386.02, 578.67 and 203.14 is: 304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 578.67 = 203.14 : x
  2. Step 2: Convert to fraction form
    386.02/578.67 = 203.14/x
  3. Step 3: Cross multiply
    386.02x = 578.67 × 203.14
  4. Step 4: Simplify right side
    386.02x = 117,551.02
  5. Step 5: Solve for x
    x = 117,551.02/386.02
  6. Step 6: Final answer
    x = 304.52

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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.