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Finding the Fourth Proportional to 510.71, 764.78 and 328.12

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Solution

The fourth proportional to 510.71, 764.78 and 328.12 is: 491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 764.78 = 328.12 : x
  2. Step 2: Convert to fraction form
    510.71/764.78 = 328.12/x
  3. Step 3: Cross multiply
    510.71x = 764.78 × 328.12
  4. Step 4: Simplify right side
    510.71x = 250,936.06
  5. Step 5: Solve for x
    x = 250,936.06/510.71
  6. Step 6: Final answer
    x = 491.35

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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.