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Finding the Fourth Proportional to 593.84, 889.08 and 401.12

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Solution

The fourth proportional to 593.84, 889.08 and 401.12 is: 600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 889.08 = 401.12 : x
  2. Step 2: Convert to fraction form
    593.84/889.08 = 401.12/x
  3. Step 3: Cross multiply
    593.84x = 889.08 × 401.12
  4. Step 4: Simplify right side
    593.84x = 356,627.77
  5. Step 5: Solve for x
    x = 356,627.77/593.84
  6. Step 6: Final answer
    x = 600.55

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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.