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Finding the Fourth Proportional to 288.28, 432.63 and 197.07

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Solution

The fourth proportional to 288.28, 432.63 and 197.07 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 432.63 = 197.07 : x
  2. Step 2: Convert to fraction form
    288.28/432.63 = 197.07/x
  3. Step 3: Cross multiply
    288.28x = 432.63 × 197.07
  4. Step 4: Simplify right side
    288.28x = 85,255.25
  5. Step 5: Solve for x
    x = 85,255.25/288.28
  6. Step 6: Final answer
    x = 295.74

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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.