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Finding the Fourth Proportional to 593.40, 818.75 and 344.57

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Solution

The fourth proportional to 593.40, 818.75 and 344.57 is: 475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.40 : 818.75 = 344.57 : x
  2. Step 2: Convert to fraction form
    593.40/818.75 = 344.57/x
  3. Step 3: Cross multiply
    593.40x = 818.75 × 344.57
  4. Step 4: Simplify right side
    593.40x = 282,114.96
  5. Step 5: Solve for x
    x = 282,114.96/593.40
  6. Step 6: Final answer
    x = 475.43

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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.