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Finding the Fourth Proportional to 521.74, 720.14 and 344.40

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Solution

The fourth proportional to 521.74, 720.14 and 344.40 is: 475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 720.14 = 344.40 : x
  2. Step 2: Convert to fraction form
    521.74/720.14 = 344.40/x
  3. Step 3: Cross multiply
    521.74x = 720.14 × 344.40
  4. Step 4: Simplify right side
    521.74x = 248,017.78
  5. Step 5: Solve for x
    x = 248,017.78/521.74
  6. Step 6: Final answer
    x = 475.37

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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.