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Finding the Fourth Proportional to 599.31, 826.74 and 403.02

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Solution

The fourth proportional to 599.31, 826.74 and 403.02 is: 555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.31 : 826.74 = 403.02 : x
  2. Step 2: Convert to fraction form
    599.31/826.74 = 403.02/x
  3. Step 3: Cross multiply
    599.31x = 826.74 × 403.02
  4. Step 4: Simplify right side
    599.31x = 333,192.75
  5. Step 5: Solve for x
    x = 333,192.75/599.31
  6. Step 6: Final answer
    x = 555.96

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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.