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Finding the Fourth Proportional to 598.87, 826.64 and 362.98

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Solution

The fourth proportional to 598.87, 826.64 and 362.98 is: 501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.87 : 826.64 = 362.98 : x
  2. Step 2: Convert to fraction form
    598.87/826.64 = 362.98/x
  3. Step 3: Cross multiply
    598.87x = 826.64 × 362.98
  4. Step 4: Simplify right side
    598.87x = 300,053.79
  5. Step 5: Solve for x
    x = 300,053.79/598.87
  6. Step 6: Final answer
    x = 501.03

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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.