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Finding the Fourth Proportional to 611.21, 916.02 and 533.99

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Solution

The fourth proportional to 611.21, 916.02 and 533.99 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.21 : 916.02 = 533.99 : x
  2. Step 2: Convert to fraction form
    611.21/916.02 = 533.99/x
  3. Step 3: Cross multiply
    611.21x = 916.02 × 533.99
  4. Step 4: Simplify right side
    611.21x = 489,145.52
  5. Step 5: Solve for x
    x = 489,145.52/611.21
  6. Step 6: Final answer
    x = 800.29

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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.