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Finding the Fourth Proportional to 593.84, 891.03 and 401.78

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Solution

The fourth proportional to 593.84, 891.03 and 401.78 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 891.03 = 401.78 : x
  2. Step 2: Convert to fraction form
    593.84/891.03 = 401.78/x
  3. Step 3: Cross multiply
    593.84x = 891.03 × 401.78
  4. Step 4: Simplify right side
    593.84x = 357,998.03
  5. Step 5: Solve for x
    x = 357,998.03/593.84
  6. Step 6: Final answer
    x = 602.85

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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.