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Finding the Fourth Proportional to 551.21, 760.66 and 299.14

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Solution

The fourth proportional to 551.21, 760.66 and 299.14 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.21 : 760.66 = 299.14 : x
  2. Step 2: Convert to fraction form
    551.21/760.66 = 299.14/x
  3. Step 3: Cross multiply
    551.21x = 760.66 × 299.14
  4. Step 4: Simplify right side
    551.21x = 227,543.83
  5. Step 5: Solve for x
    x = 227,543.83/551.21
  6. Step 6: Final answer
    x = 412.81

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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.