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Finding the Fourth Proportional to 593.90, 889.78 and 362.68

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Solution

The fourth proportional to 593.90, 889.78 and 362.68 is: 543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.90 : 889.78 = 362.68 : x
  2. Step 2: Convert to fraction form
    593.90/889.78 = 362.68/x
  3. Step 3: Cross multiply
    593.90x = 889.78 × 362.68
  4. Step 4: Simplify right side
    593.90x = 322,705.41
  5. Step 5: Solve for x
    x = 322,705.41/593.90
  6. Step 6: Final answer
    x = 543.37

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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.