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Finding the Fourth Proportional to 610.68, 837.60 and 582.96

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Solution

The fourth proportional to 610.68, 837.60 and 582.96 is: 799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 837.60 = 582.96 : x
  2. Step 2: Convert to fraction form
    610.68/837.60 = 582.96/x
  3. Step 3: Cross multiply
    610.68x = 837.60 × 582.96
  4. Step 4: Simplify right side
    610.68x = 488,287.30
  5. Step 5: Solve for x
    x = 488,287.30/610.68
  6. Step 6: Final answer
    x = 799.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.