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Finding the Fourth Proportional to 551.28, 760.64 and 344.32

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Solution

The fourth proportional to 551.28, 760.64 and 344.32 is: 475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.28 : 760.64 = 344.32 : x
  2. Step 2: Convert to fraction form
    551.28/760.64 = 344.32/x
  3. Step 3: Cross multiply
    551.28x = 760.64 × 344.32
  4. Step 4: Simplify right side
    551.28x = 261,903.56
  5. Step 5: Solve for x
    x = 261,903.56/551.28
  6. Step 6: Final answer
    x = 475.08

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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.