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Finding the Fourth Proportional to 593.70, 890.94 and 208.95

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Solution

The fourth proportional to 593.70, 890.94 and 208.95 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.70 : 890.94 = 208.95 : x
  2. Step 2: Convert to fraction form
    593.70/890.94 = 208.95/x
  3. Step 3: Cross multiply
    593.70x = 890.94 × 208.95
  4. Step 4: Simplify right side
    593.70x = 186,161.91
  5. Step 5: Solve for x
    x = 186,161.91/593.70
  6. Step 6: Final answer
    x = 313.56

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Why These Related Problems?

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