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Finding the Fourth Proportional to 598.78, 892.49 and 576.64

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Solution

The fourth proportional to 598.78, 892.49 and 576.64 is: 859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 892.49 = 576.64 : x
  2. Step 2: Convert to fraction form
    598.78/892.49 = 576.64/x
  3. Step 3: Cross multiply
    598.78x = 892.49 × 576.64
  4. Step 4: Simplify right side
    598.78x = 514,645.43
  5. Step 5: Solve for x
    x = 514,645.43/598.78
  6. Step 6: Final answer
    x = 859.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.