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Finding the Fourth Proportional to 510.37, 765.86 and 250.52

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Solution

The fourth proportional to 510.37, 765.86 and 250.52 is: 375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.37 : 765.86 = 250.52 : x
  2. Step 2: Convert to fraction form
    510.37/765.86 = 250.52/x
  3. Step 3: Cross multiply
    510.37x = 765.86 × 250.52
  4. Step 4: Simplify right side
    510.37x = 191,858.17
  5. Step 5: Solve for x
    x = 191,858.17/510.37
  6. Step 6: Final answer
    x = 375.92

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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.