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Finding the Fourth Proportional to 435.77, 653.49 and 192.13

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Solution

The fourth proportional to 435.77, 653.49 and 192.13 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.77 : 653.49 = 192.13 : x
  2. Step 2: Convert to fraction form
    435.77/653.49 = 192.13/x
  3. Step 3: Cross multiply
    435.77x = 653.49 × 192.13
  4. Step 4: Simplify right side
    435.77x = 125,550.81
  5. Step 5: Solve for x
    x = 125,550.81/435.77
  6. Step 6: Final answer
    x = 288.11

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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.