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Finding the Fourth Proportional to 410.36, 614.93 and 179.03

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Solution

The fourth proportional to 410.36, 614.93 and 179.03 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.36 : 614.93 = 179.03 : x
  2. Step 2: Convert to fraction form
    410.36/614.93 = 179.03/x
  3. Step 3: Cross multiply
    410.36x = 614.93 × 179.03
  4. Step 4: Simplify right side
    410.36x = 110,091.56
  5. Step 5: Solve for x
    x = 110,091.56/410.36
  6. Step 6: Final answer
    x = 268.28

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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.