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Finding the Fourth Proportional to 435.47, 653.41 and 191.96

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Solution

The fourth proportional to 435.47, 653.41 and 191.96 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.47 : 653.41 = 191.96 : x
  2. Step 2: Convert to fraction form
    435.47/653.41 = 191.96/x
  3. Step 3: Cross multiply
    435.47x = 653.41 × 191.96
  4. Step 4: Simplify right side
    435.47x = 125,430.46
  5. Step 5: Solve for x
    x = 125,430.46/435.47
  6. Step 6: Final answer
    x = 288.04

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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.