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Finding the Fourth Proportional to 510.33, 765.39 and 145.15

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Solution

The fourth proportional to 510.33, 765.39 and 145.15 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.33 : 765.39 = 145.15 : x
  2. Step 2: Convert to fraction form
    510.33/765.39 = 145.15/x
  3. Step 3: Cross multiply
    510.33x = 765.39 × 145.15
  4. Step 4: Simplify right side
    510.33x = 111,097.04
  5. Step 5: Solve for x
    x = 111,097.04/510.33
  6. Step 6: Final answer
    x = 217.70

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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.