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Finding the Fourth Proportional to 611.04, 916.74 and 200.24

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Solution

The fourth proportional to 611.04, 916.74 and 200.24 is: 300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.04 : 916.74 = 200.24 : x
  2. Step 2: Convert to fraction form
    611.04/916.74 = 200.24/x
  3. Step 3: Cross multiply
    611.04x = 916.74 × 200.24
  4. Step 4: Simplify right side
    611.04x = 183,568.02
  5. Step 5: Solve for x
    x = 183,568.02/611.04
  6. Step 6: Final answer
    x = 300.42

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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.