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Finding the Fourth Proportional to 510.26, 765.23 and 202.19

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Solution

The fourth proportional to 510.26, 765.23 and 202.19 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 765.23 = 202.19 : x
  2. Step 2: Convert to fraction form
    510.26/765.23 = 202.19/x
  3. Step 3: Cross multiply
    510.26x = 765.23 × 202.19
  4. Step 4: Simplify right side
    510.26x = 154,720.84
  5. Step 5: Solve for x
    x = 154,720.84/510.26
  6. Step 6: Final answer
    x = 303.22

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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.