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Finding the Fourth Proportional to 435.37, 652.65 and 192.04

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Solution

The fourth proportional to 435.37, 652.65 and 192.04 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.37 : 652.65 = 192.04 : x
  2. Step 2: Convert to fraction form
    435.37/652.65 = 192.04/x
  3. Step 3: Cross multiply
    435.37x = 652.65 × 192.04
  4. Step 4: Simplify right side
    435.37x = 125,334.91
  5. Step 5: Solve for x
    x = 125,334.91/435.37
  6. Step 6: Final answer
    x = 287.88

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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.