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Finding the Fourth Proportional to 599.10, 826.71 and 337.14

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Solution

The fourth proportional to 599.10, 826.71 and 337.14 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.10 : 826.71 = 337.14 : x
  2. Step 2: Convert to fraction form
    599.10/826.71 = 337.14/x
  3. Step 3: Cross multiply
    599.10x = 826.71 × 337.14
  4. Step 4: Simplify right side
    599.10x = 278,717.01
  5. Step 5: Solve for x
    x = 278,717.01/599.10
  6. Step 6: Final answer
    x = 465.23

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Why These Related Problems?

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