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Finding the Fourth Proportional to 593.74, 889.50 and 349.54

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Solution

The fourth proportional to 593.74, 889.50 and 349.54 is: 523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.74 : 889.50 = 349.54 : x
  2. Step 2: Convert to fraction form
    593.74/889.50 = 349.54/x
  3. Step 3: Cross multiply
    593.74x = 889.50 × 349.54
  4. Step 4: Simplify right side
    593.74x = 310,915.83
  5. Step 5: Solve for x
    x = 310,915.83/593.74
  6. Step 6: Final answer
    x = 523.66

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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.