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Finding the Fourth Proportional to 610.56, 842.94 and 424.26

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Solution

The fourth proportional to 610.56, 842.94 and 424.26 is: 585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 842.94 = 424.26 : x
  2. Step 2: Convert to fraction form
    610.56/842.94 = 424.26/x
  3. Step 3: Cross multiply
    610.56x = 842.94 × 424.26
  4. Step 4: Simplify right side
    610.56x = 357,625.72
  5. Step 5: Solve for x
    x = 357,625.72/610.56
  6. Step 6: Final answer
    x = 585.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.