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Finding the Fourth Proportional to 593.70, 890.94 and 208.94

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Solution

The fourth proportional to 593.70, 890.94 and 208.94 is: 313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.70 : 890.94 = 208.94 : x
  2. Step 2: Convert to fraction form
    593.70/890.94 = 208.94/x
  3. Step 3: Cross multiply
    593.70x = 890.94 × 208.94
  4. Step 4: Simplify right side
    593.70x = 186,153.00
  5. Step 5: Solve for x
    x = 186,153.00/593.70
  6. Step 6: Final answer
    x = 313.55

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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.