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Finding the Fourth Proportional to 593.83, 819.21 and 546.45

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Solution

The fourth proportional to 593.83, 819.21 and 546.45 is: 753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.83 : 819.21 = 546.45 : x
  2. Step 2: Convert to fraction form
    593.83/819.21 = 546.45/x
  3. Step 3: Cross multiply
    593.83x = 819.21 × 546.45
  4. Step 4: Simplify right side
    593.83x = 447,656.28
  5. Step 5: Solve for x
    x = 447,656.28/593.83
  6. Step 6: Final answer
    x = 753.84

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