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Finding the Fourth Proportional to 610.83, 917.10 and 405.54

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Solution

The fourth proportional to 610.83, 917.10 and 405.54 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.83 : 917.10 = 405.54 : x
  2. Step 2: Convert to fraction form
    610.83/917.10 = 405.54/x
  3. Step 3: Cross multiply
    610.83x = 917.10 × 405.54
  4. Step 4: Simplify right side
    610.83x = 371,920.73
  5. Step 5: Solve for x
    x = 371,920.73/610.83
  6. Step 6: Final answer
    x = 608.88

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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.