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Finding the Fourth Proportional to 593.48, 889.07 and 349.26

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Solution

The fourth proportional to 593.48, 889.07 and 349.26 is: 523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.48 : 889.07 = 349.26 : x
  2. Step 2: Convert to fraction form
    593.48/889.07 = 349.26/x
  3. Step 3: Cross multiply
    593.48x = 889.07 × 349.26
  4. Step 4: Simplify right side
    593.48x = 310,514.84
  5. Step 5: Solve for x
    x = 310,514.84/593.48
  6. Step 6: Final answer
    x = 523.21

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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.