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Finding the Fourth Proportional to 644.83, 967.32 and 206.08

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Solution

The fourth proportional to 644.83, 967.32 and 206.08 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.83 : 967.32 = 206.08 : x
  2. Step 2: Convert to fraction form
    644.83/967.32 = 206.08/x
  3. Step 3: Cross multiply
    644.83x = 967.32 × 206.08
  4. Step 4: Simplify right side
    644.83x = 199,345.31
  5. Step 5: Solve for x
    x = 199,345.31/644.83
  6. Step 6: Final answer
    x = 309.14

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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.