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Finding the Fourth Proportional to 510.71, 765.11 and 394.74

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Solution

The fourth proportional to 510.71, 765.11 and 394.74 is: 591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 765.11 = 394.74 : x
  2. Step 2: Convert to fraction form
    510.71/765.11 = 394.74/x
  3. Step 3: Cross multiply
    510.71x = 765.11 × 394.74
  4. Step 4: Simplify right side
    510.71x = 302,020.51
  5. Step 5: Solve for x
    x = 302,020.51/510.71
  6. Step 6: Final answer
    x = 591.38

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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.