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Finding the Fourth Proportional to 367.84, 552.64 and 346

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Solution

The fourth proportional to 367.84, 552.64 and 346 is: 519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 552.64 = 346 : x
  2. Step 2: Convert to fraction form
    367.84/552.64 = 346/x
  3. Step 3: Cross multiply
    367.84x = 552.64 × 346
  4. Step 4: Simplify right side
    367.84x = 191,213.44
  5. Step 5: Solve for x
    x = 191,213.44/367.84
  6. Step 6: Final answer
    x = 519.83

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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.