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Finding the Fourth Proportional to 551.10, 760.22 and 354.82

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Solution

The fourth proportional to 551.10, 760.22 and 354.82 is: 489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.10 : 760.22 = 354.82 : x
  2. Step 2: Convert to fraction form
    551.10/760.22 = 354.82/x
  3. Step 3: Cross multiply
    551.10x = 760.22 × 354.82
  4. Step 4: Simplify right side
    551.10x = 269,741.26
  5. Step 5: Solve for x
    x = 269,741.26/551.10
  6. Step 6: Final answer
    x = 489.46

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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.