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Finding the Fourth Proportional to 288.34, 431.59 and 206.79

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Solution

The fourth proportional to 288.34, 431.59 and 206.79 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 431.59 = 206.79 : x
  2. Step 2: Convert to fraction form
    288.34/431.59 = 206.79/x
  3. Step 3: Cross multiply
    288.34x = 431.59 × 206.79
  4. Step 4: Simplify right side
    288.34x = 89,248.50
  5. Step 5: Solve for x
    x = 89,248.50/288.34
  6. Step 6: Final answer
    x = 309.53

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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.