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Finding the Fourth Proportional to 610.25, 914.63 and 350.42

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Solution

The fourth proportional to 610.25, 914.63 and 350.42 is: 525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.25 : 914.63 = 350.42 : x
  2. Step 2: Convert to fraction form
    610.25/914.63 = 350.42/x
  3. Step 3: Cross multiply
    610.25x = 914.63 × 350.42
  4. Step 4: Simplify right side
    610.25x = 320,498.32
  5. Step 5: Solve for x
    x = 320,498.32/610.25
  6. Step 6: Final answer
    x = 525.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.