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Finding the Fourth Proportional to 593.85, 888.59 and 420.69

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Solution

The fourth proportional to 593.85, 888.59 and 420.69 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.85 : 888.59 = 420.69 : x
  2. Step 2: Convert to fraction form
    593.85/888.59 = 420.69/x
  3. Step 3: Cross multiply
    593.85x = 888.59 × 420.69
  4. Step 4: Simplify right side
    593.85x = 373,821.98
  5. Step 5: Solve for x
    x = 373,821.98/593.85
  6. Step 6: Final answer
    x = 629.49

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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.