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Finding the Fourth Proportional to 593.78, 890.64 and 209

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Solution

The fourth proportional to 593.78, 890.64 and 209 is: 313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.78 : 890.64 = 209 : x
  2. Step 2: Convert to fraction form
    593.78/890.64 = 209/x
  3. Step 3: Cross multiply
    593.78x = 890.64 × 209
  4. Step 4: Simplify right side
    593.78x = 186,143.76
  5. Step 5: Solve for x
    x = 186,143.76/593.78
  6. Step 6: Final answer
    x = 313.49

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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.