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Finding the Fourth Proportional to 551.14, 760.19 and 354.71

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Solution

The fourth proportional to 551.14, 760.19 and 354.71 is: 489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.14 : 760.19 = 354.71 : x
  2. Step 2: Convert to fraction form
    551.14/760.19 = 354.71/x
  3. Step 3: Cross multiply
    551.14x = 760.19 × 354.71
  4. Step 4: Simplify right side
    551.14x = 269,647.12
  5. Step 5: Solve for x
    x = 269,647.12/551.14
  6. Step 6: Final answer
    x = 489.26

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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.