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Finding the Fourth Proportional to 347.34, 521.02 and 90.84

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Solution

The fourth proportional to 347.34, 521.02 and 90.84 is: 136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.34 : 521.02 = 90.84 : x
  2. Step 2: Convert to fraction form
    347.34/521.02 = 90.84/x
  3. Step 3: Cross multiply
    347.34x = 521.02 × 90.84
  4. Step 4: Simplify right side
    347.34x = 47,331.01
  5. Step 5: Solve for x
    x = 47,331.01/347.34
  6. Step 6: Final answer
    x = 136.27

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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.