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Finding the Fourth Proportional to 598.76, 826.64 and 392.12

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Solution

The fourth proportional to 598.76, 826.64 and 392.12 is: 541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 826.64 = 392.12 : x
  2. Step 2: Convert to fraction form
    598.76/826.64 = 392.12/x
  3. Step 3: Cross multiply
    598.76x = 826.64 × 392.12
  4. Step 4: Simplify right side
    598.76x = 324,142.08
  5. Step 5: Solve for x
    x = 324,142.08/598.76
  6. Step 6: Final answer
    x = 541.36

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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.