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Finding the Fourth Proportional to 593.25, 818.67 and 344.57

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Solution

The fourth proportional to 593.25, 818.67 and 344.57 is: 475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.25 : 818.67 = 344.57 : x
  2. Step 2: Convert to fraction form
    593.25/818.67 = 344.57/x
  3. Step 3: Cross multiply
    593.25x = 818.67 × 344.57
  4. Step 4: Simplify right side
    593.25x = 282,090.93
  5. Step 5: Solve for x
    x = 282,090.93/593.25
  6. Step 6: Final answer
    x = 475.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.