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Finding the Fourth Proportional to 435.65, 653.30 and 192

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Solution

The fourth proportional to 435.65, 653.30 and 192 is: 287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.65 : 653.30 = 192 : x
  2. Step 2: Convert to fraction form
    435.65/653.30 = 192/x
  3. Step 3: Cross multiply
    435.65x = 653.30 × 192
  4. Step 4: Simplify right side
    435.65x = 125,433.12
  5. Step 5: Solve for x
    x = 125,433.12/435.65
  6. Step 6: Final answer
    x = 287.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.