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Finding the Fourth Proportional to 599.06, 826.44 and 424.10

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Solution

The fourth proportional to 599.06, 826.44 and 424.10 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 826.44 = 424.10 : x
  2. Step 2: Convert to fraction form
    599.06/826.44 = 424.10/x
  3. Step 3: Cross multiply
    599.06x = 826.44 × 424.10
  4. Step 4: Simplify right side
    599.06x = 350,493.20
  5. Step 5: Solve for x
    x = 350,493.20/599.06
  6. Step 6: Final answer
    x = 585.07

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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.