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Finding the Fourth Proportional to 510.05, 704.32 and 333.05

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Solution

The fourth proportional to 510.05, 704.32 and 333.05 is: 459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 704.32 = 333.05 : x
  2. Step 2: Convert to fraction form
    510.05/704.32 = 333.05/x
  3. Step 3: Cross multiply
    510.05x = 704.32 × 333.05
  4. Step 4: Simplify right side
    510.05x = 234,569.42
  5. Step 5: Solve for x
    x = 234,569.42/510.05
  6. Step 6: Final answer
    x = 459.89

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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.