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Finding the Fourth Proportional to 347.62, 522.30 and 224.30

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Solution

The fourth proportional to 347.62, 522.30 and 224.30 is: 337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.62 : 522.30 = 224.30 : x
  2. Step 2: Convert to fraction form
    347.62/522.30 = 224.30/x
  3. Step 3: Cross multiply
    347.62x = 522.30 × 224.30
  4. Step 4: Simplify right side
    347.62x = 117,152.08
  5. Step 5: Solve for x
    x = 117,152.08/347.62
  6. Step 6: Final answer
    x = 337.01

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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.