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Finding the Fourth Proportional to 551.49, 825.08 and 397.71

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Solution

The fourth proportional to 551.49, 825.08 and 397.71 is: 595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.49 : 825.08 = 397.71 : x
  2. Step 2: Convert to fraction form
    551.49/825.08 = 397.71/x
  3. Step 3: Cross multiply
    551.49x = 825.08 × 397.71
  4. Step 4: Simplify right side
    551.49x = 328,140.58
  5. Step 5: Solve for x
    x = 328,140.58/551.49
  6. Step 6: Final answer
    x = 595.01

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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.