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Finding the Fourth Proportional to 593.56, 819.06 and 360.76

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Solution

The fourth proportional to 593.56, 819.06 and 360.76 is: 497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.56 : 819.06 = 360.76 : x
  2. Step 2: Convert to fraction form
    593.56/819.06 = 360.76/x
  3. Step 3: Cross multiply
    593.56x = 819.06 × 360.76
  4. Step 4: Simplify right side
    593.56x = 295,484.09
  5. Step 5: Solve for x
    x = 295,484.09/593.56
  6. Step 6: Final answer
    x = 497.82

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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.