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Finding the Fourth Proportional to 463, 694.54 and 206.50

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Solution

The fourth proportional to 463, 694.54 and 206.50 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 694.54 = 206.50 : x
  2. Step 2: Convert to fraction form
    463/694.54 = 206.50/x
  3. Step 3: Cross multiply
    463x = 694.54 × 206.50
  4. Step 4: Simplify right side
    463x = 143,422.51
  5. Step 5: Solve for x
    x = 143,422.51/463
  6. Step 6: Final answer
    x = 309.77

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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.