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Finding the Fourth Proportional to 598.72, 826.50 and 391.72

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Solution

The fourth proportional to 598.72, 826.50 and 391.72 is: 540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.72 : 826.50 = 391.72 : x
  2. Step 2: Convert to fraction form
    598.72/826.50 = 391.72/x
  3. Step 3: Cross multiply
    598.72x = 826.50 × 391.72
  4. Step 4: Simplify right side
    598.72x = 323,756.58
  5. Step 5: Solve for x
    x = 323,756.58/598.72
  6. Step 6: Final answer
    x = 540.75

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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.