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Finding the Fourth Proportional to 593.72, 819.15 and 383.90

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Solution

The fourth proportional to 593.72, 819.15 and 383.90 is: 529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.72 : 819.15 = 383.90 : x
  2. Step 2: Convert to fraction form
    593.72/819.15 = 383.90/x
  3. Step 3: Cross multiply
    593.72x = 819.15 × 383.90
  4. Step 4: Simplify right side
    593.72x = 314,467.59
  5. Step 5: Solve for x
    x = 314,467.59/593.72
  6. Step 6: Final answer
    x = 529.66

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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.