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Finding the Fourth Proportional to 611.86, 916.83 and 473.38

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Solution

The fourth proportional to 611.86, 916.83 and 473.38 is: 709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.86 : 916.83 = 473.38 : x
  2. Step 2: Convert to fraction form
    611.86/916.83 = 473.38/x
  3. Step 3: Cross multiply
    611.86x = 916.83 × 473.38
  4. Step 4: Simplify right side
    611.86x = 434,008.99
  5. Step 5: Solve for x
    x = 434,008.99/611.86
  6. Step 6: Final answer
    x = 709.33

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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.