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Finding the Fourth Proportional to 593.55, 819.10 and 328

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Solution

The fourth proportional to 593.55, 819.10 and 328 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.55 : 819.10 = 328 : x
  2. Step 2: Convert to fraction form
    593.55/819.10 = 328/x
  3. Step 3: Cross multiply
    593.55x = 819.10 × 328
  4. Step 4: Simplify right side
    593.55x = 268,664.80
  5. Step 5: Solve for x
    x = 268,664.80/593.55
  6. Step 6: Final answer
    x = 452.64

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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.