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Finding the Fourth Proportional to 593.77, 890.10 and 285.47

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Solution

The fourth proportional to 593.77, 890.10 and 285.47 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.77 : 890.10 = 285.47 : x
  2. Step 2: Convert to fraction form
    593.77/890.10 = 285.47/x
  3. Step 3: Cross multiply
    593.77x = 890.10 × 285.47
  4. Step 4: Simplify right side
    593.77x = 254,096.85
  5. Step 5: Solve for x
    x = 254,096.85/593.77
  6. Step 6: Final answer
    x = 427.94

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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.