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Finding the Fourth Proportional to 551.69, 761.09 and 341.81

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Solution

The fourth proportional to 551.69, 761.09 and 341.81 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.69 : 761.09 = 341.81 : x
  2. Step 2: Convert to fraction form
    551.69/761.09 = 341.81/x
  3. Step 3: Cross multiply
    551.69x = 761.09 × 341.81
  4. Step 4: Simplify right side
    551.69x = 260,142.66
  5. Step 5: Solve for x
    x = 260,142.66/551.69
  6. Step 6: Final answer
    x = 471.54

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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.