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Finding the Fourth Proportional to 593.74, 890.39 and 285.52

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Solution

The fourth proportional to 593.74, 890.39 and 285.52 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.74 : 890.39 = 285.52 : x
  2. Step 2: Convert to fraction form
    593.74/890.39 = 285.52/x
  3. Step 3: Cross multiply
    593.74x = 890.39 × 285.52
  4. Step 4: Simplify right side
    593.74x = 254,222.73
  5. Step 5: Solve for x
    x = 254,222.73/593.74
  6. Step 6: Final answer
    x = 428.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.