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Finding the Fourth Proportional to 510.68, 766.08 and 375.44

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Solution

The fourth proportional to 510.68, 766.08 and 375.44 is: 563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.68 : 766.08 = 375.44 : x
  2. Step 2: Convert to fraction form
    510.68/766.08 = 375.44/x
  3. Step 3: Cross multiply
    510.68x = 766.08 × 375.44
  4. Step 4: Simplify right side
    510.68x = 287,617.08
  5. Step 5: Solve for x
    x = 287,617.08/510.68
  6. Step 6: Final answer
    x = 563.20

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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.