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Finding the Fourth Proportional to 611.14, 916.54 and 472.23

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Solution

The fourth proportional to 611.14, 916.54 and 472.23 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.14 : 916.54 = 472.23 : x
  2. Step 2: Convert to fraction form
    611.14/916.54 = 472.23/x
  3. Step 3: Cross multiply
    611.14x = 916.54 × 472.23
  4. Step 4: Simplify right side
    611.14x = 432,818.27
  5. Step 5: Solve for x
    x = 432,818.27/611.14
  6. Step 6: Final answer
    x = 708.21

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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.