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Finding the Fourth Proportional to 288.30, 432.78 and 206.89

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Solution

The fourth proportional to 288.30, 432.78 and 206.89 is: 310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.30 : 432.78 = 206.89 : x
  2. Step 2: Convert to fraction form
    288.30/432.78 = 206.89/x
  3. Step 3: Cross multiply
    288.30x = 432.78 × 206.89
  4. Step 4: Simplify right side
    288.30x = 89,537.85
  5. Step 5: Solve for x
    x = 89,537.85/288.30
  6. Step 6: Final answer
    x = 310.57

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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.