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Finding the Fourth Proportional to 347.84, 521.68 and 224.40

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Solution

The fourth proportional to 347.84, 521.68 and 224.40 is: 336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 521.68 = 224.40 : x
  2. Step 2: Convert to fraction form
    347.84/521.68 = 224.40/x
  3. Step 3: Cross multiply
    347.84x = 521.68 × 224.40
  4. Step 4: Simplify right side
    347.84x = 117,064.99
  5. Step 5: Solve for x
    x = 117,064.99/347.84
  6. Step 6: Final answer
    x = 336.55

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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.