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Finding the Fourth Proportional to 386.50, 581.10 and 204.26

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Solution

The fourth proportional to 386.50, 581.10 and 204.26 is: 307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.50 : 581.10 = 204.26 : x
  2. Step 2: Convert to fraction form
    386.50/581.10 = 204.26/x
  3. Step 3: Cross multiply
    386.50x = 581.10 × 204.26
  4. Step 4: Simplify right side
    386.50x = 118,695.49
  5. Step 5: Solve for x
    x = 118,695.49/386.50
  6. Step 6: Final answer
    x = 307.10

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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.