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Finding the Fourth Proportional to 593.95, 819.64 and 345.41

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Solution

The fourth proportional to 593.95, 819.64 and 345.41 is: 476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.95 : 819.64 = 345.41 : x
  2. Step 2: Convert to fraction form
    593.95/819.64 = 345.41/x
  3. Step 3: Cross multiply
    593.95x = 819.64 × 345.41
  4. Step 4: Simplify right side
    593.95x = 283,111.85
  5. Step 5: Solve for x
    x = 283,111.85/593.95
  6. Step 6: Final answer
    x = 476.66

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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.