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Finding the Fourth Proportional to 551.31, 760.77 and 341.57

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Solution

The fourth proportional to 551.31, 760.77 and 341.57 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.31 : 760.77 = 341.57 : x
  2. Step 2: Convert to fraction form
    551.31/760.77 = 341.57/x
  3. Step 3: Cross multiply
    551.31x = 760.77 × 341.57
  4. Step 4: Simplify right side
    551.31x = 259,852.41
  5. Step 5: Solve for x
    x = 259,852.41/551.31
  6. Step 6: Final answer
    x = 471.34

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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.