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Finding the Fourth Proportional to 510.98, 766.44 and 202.82

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Solution

The fourth proportional to 510.98, 766.44 and 202.82 is: 304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 766.44 = 202.82 : x
  2. Step 2: Convert to fraction form
    510.98/766.44 = 202.82/x
  3. Step 3: Cross multiply
    510.98x = 766.44 × 202.82
  4. Step 4: Simplify right side
    510.98x = 155,449.36
  5. Step 5: Solve for x
    x = 155,449.36/510.98
  6. Step 6: Final answer
    x = 304.22

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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.