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Finding the Fourth Proportional to 511.83, 766.22 and 424.35

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Solution

The fourth proportional to 511.83, 766.22 and 424.35 is: 635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.83 : 766.22 = 424.35 : x
  2. Step 2: Convert to fraction form
    511.83/766.22 = 424.35/x
  3. Step 3: Cross multiply
    511.83x = 766.22 × 424.35
  4. Step 4: Simplify right side
    511.83x = 325,143.34
  5. Step 5: Solve for x
    x = 325,143.34/511.83
  6. Step 6: Final answer
    x = 635.26

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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.