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Finding the Fourth Proportional to 576.21, 863.36 and 553.74

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Solution

The fourth proportional to 576.21, 863.36 and 553.74 is: 829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.21 : 863.36 = 553.74 : x
  2. Step 2: Convert to fraction form
    576.21/863.36 = 553.74/x
  3. Step 3: Cross multiply
    576.21x = 863.36 × 553.74
  4. Step 4: Simplify right side
    576.21x = 478,073.04
  5. Step 5: Solve for x
    x = 478,073.04/576.21
  6. Step 6: Final answer
    x = 829.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.