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Finding the Fourth Proportional to 510.94, 704.29 and 333.59

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Solution

The fourth proportional to 510.94, 704.29 and 333.59 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.94 : 704.29 = 333.59 : x
  2. Step 2: Convert to fraction form
    510.94/704.29 = 333.59/x
  3. Step 3: Cross multiply
    510.94x = 704.29 × 333.59
  4. Step 4: Simplify right side
    510.94x = 234,939.75
  5. Step 5: Solve for x
    x = 234,939.75/510.94
  6. Step 6: Final answer
    x = 459.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.