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Finding the Fourth Proportional to 593.84, 819.67 and 345.27

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Solution

The fourth proportional to 593.84, 819.67 and 345.27 is: 476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 819.67 = 345.27 : x
  2. Step 2: Convert to fraction form
    593.84/819.67 = 345.27/x
  3. Step 3: Cross multiply
    593.84x = 819.67 × 345.27
  4. Step 4: Simplify right side
    593.84x = 283,007.46
  5. Step 5: Solve for x
    x = 283,007.46/593.84
  6. Step 6: Final answer
    x = 476.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.