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Finding the Fourth Proportional to 593.89, 819.09 and 384.10

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Solution

The fourth proportional to 593.89, 819.09 and 384.10 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.89 : 819.09 = 384.10 : x
  2. Step 2: Convert to fraction form
    593.89/819.09 = 384.10/x
  3. Step 3: Cross multiply
    593.89x = 819.09 × 384.10
  4. Step 4: Simplify right side
    593.89x = 314,612.47
  5. Step 5: Solve for x
    x = 314,612.47/593.89
  6. Step 6: Final answer
    x = 529.75

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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.