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Finding the Fourth Proportional to 551.17, 826.04 and 385.35

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Solution

The fourth proportional to 551.17, 826.04 and 385.35 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.17 : 826.04 = 385.35 : x
  2. Step 2: Convert to fraction form
    551.17/826.04 = 385.35/x
  3. Step 3: Cross multiply
    551.17x = 826.04 × 385.35
  4. Step 4: Simplify right side
    551.17x = 318,314.70
  5. Step 5: Solve for x
    x = 318,314.70/551.17
  6. Step 6: Final answer
    x = 577.53

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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.