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Finding the Fourth Proportional to 598.48, 826.22 and 374.49

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Solution

The fourth proportional to 598.48, 826.22 and 374.49 is: 517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.48 : 826.22 = 374.49 : x
  2. Step 2: Convert to fraction form
    598.48/826.22 = 374.49/x
  3. Step 3: Cross multiply
    598.48x = 826.22 × 374.49
  4. Step 4: Simplify right side
    598.48x = 309,412.06
  5. Step 5: Solve for x
    x = 309,412.06/598.48
  6. Step 6: Final answer
    x = 517.00

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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.