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Finding the Fourth Proportional to 551.18, 760.63 and 299.10

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Solution

The fourth proportional to 551.18, 760.63 and 299.10 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.18 : 760.63 = 299.10 : x
  2. Step 2: Convert to fraction form
    551.18/760.63 = 299.10/x
  3. Step 3: Cross multiply
    551.18x = 760.63 × 299.10
  4. Step 4: Simplify right side
    551.18x = 227,505.83
  5. Step 5: Solve for x
    x = 227,505.83/551.18
  6. Step 6: Final answer
    x = 412.76

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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.