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Finding the Fourth Proportional to 510.71, 764.99 and 237.03

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Solution

The fourth proportional to 510.71, 764.99 and 237.03 is: 355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 764.99 = 237.03 : x
  2. Step 2: Convert to fraction form
    510.71/764.99 = 237.03/x
  3. Step 3: Cross multiply
    510.71x = 764.99 × 237.03
  4. Step 4: Simplify right side
    510.71x = 181,325.58
  5. Step 5: Solve for x
    x = 181,325.58/510.71
  6. Step 6: Final answer
    x = 355.05

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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.