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Finding the Fourth Proportional to 599.24, 826.74 and 350.37

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Solution

The fourth proportional to 599.24, 826.74 and 350.37 is: 483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 826.74 = 350.37 : x
  2. Step 2: Convert to fraction form
    599.24/826.74 = 350.37/x
  3. Step 3: Cross multiply
    599.24x = 826.74 × 350.37
  4. Step 4: Simplify right side
    599.24x = 289,664.89
  5. Step 5: Solve for x
    x = 289,664.89/599.24
  6. Step 6: Final answer
    x = 483.39

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1.5x scale

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.