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Finding the Fourth Proportional to 611.29, 916.63 and 200.38

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Solution

The fourth proportional to 611.29, 916.63 and 200.38 is: 300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.29 : 916.63 = 200.38 : x
  2. Step 2: Convert to fraction form
    611.29/916.63 = 200.38/x
  3. Step 3: Cross multiply
    611.29x = 916.63 × 200.38
  4. Step 4: Simplify right side
    611.29x = 183,674.32
  5. Step 5: Solve for x
    x = 183,674.32/611.29
  6. Step 6: Final answer
    x = 300.47

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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.