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Finding the Fourth Proportional to 510.75, 761.07 and 494.19

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Solution

The fourth proportional to 510.75, 761.07 and 494.19 is: 736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 761.07 = 494.19 : x
  2. Step 2: Convert to fraction form
    510.75/761.07 = 494.19/x
  3. Step 3: Cross multiply
    510.75x = 761.07 × 494.19
  4. Step 4: Simplify right side
    510.75x = 376,113.18
  5. Step 5: Solve for x
    x = 376,113.18/510.75
  6. Step 6: Final answer
    x = 736.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.