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Finding the Fourth Proportional to 593.81, 890.70 and 208.79

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Solution

The fourth proportional to 593.81, 890.70 and 208.79 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.81 : 890.70 = 208.79 : x
  2. Step 2: Convert to fraction form
    593.81/890.70 = 208.79/x
  3. Step 3: Cross multiply
    593.81x = 890.70 × 208.79
  4. Step 4: Simplify right side
    593.81x = 185,964.80
  5. Step 5: Solve for x
    x = 185,964.80/593.81
  6. Step 6: Final answer
    x = 313.17

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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.