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Finding the Fourth Proportional to 610.20, 916.38 and 404.46

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Solution

The fourth proportional to 610.20, 916.38 and 404.46 is: 607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 916.38 = 404.46 : x
  2. Step 2: Convert to fraction form
    610.20/916.38 = 404.46/x
  3. Step 3: Cross multiply
    610.20x = 916.38 × 404.46
  4. Step 4: Simplify right side
    610.20x = 370,639.05
  5. Step 5: Solve for x
    x = 370,639.05/610.20
  6. Step 6: Final answer
    x = 607.41

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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.