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Finding the Fourth Proportional to 347.77, 521.45 and 174.24

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Solution

The fourth proportional to 347.77, 521.45 and 174.24 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.77 : 521.45 = 174.24 : x
  2. Step 2: Convert to fraction form
    347.77/521.45 = 174.24/x
  3. Step 3: Cross multiply
    347.77x = 521.45 × 174.24
  4. Step 4: Simplify right side
    347.77x = 90,853.97
  5. Step 5: Solve for x
    x = 90,853.97/347.77
  6. Step 6: Final answer
    x = 261.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.