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Finding the Fourth Proportional to 593.69, 890.54 and 208.85

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Solution

The fourth proportional to 593.69, 890.54 and 208.85 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.69 : 890.54 = 208.85 : x
  2. Step 2: Convert to fraction form
    593.69/890.54 = 208.85/x
  3. Step 3: Cross multiply
    593.69x = 890.54 × 208.85
  4. Step 4: Simplify right side
    593.69x = 185,988.23
  5. Step 5: Solve for x
    x = 185,988.23/593.69
  6. Step 6: Final answer
    x = 313.28

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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.