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Finding the Fourth Proportional to 307.07, 423.62 and 204.77

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Solution

The fourth proportional to 307.07, 423.62 and 204.77 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.07 : 423.62 = 204.77 : x
  2. Step 2: Convert to fraction form
    307.07/423.62 = 204.77/x
  3. Step 3: Cross multiply
    307.07x = 423.62 × 204.77
  4. Step 4: Simplify right side
    307.07x = 86,744.70
  5. Step 5: Solve for x
    x = 86,744.70/307.07
  6. Step 6: Final answer
    x = 282.50

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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.