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Finding the Fourth Proportional to 593.48, 818.86 and 341.42

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Solution

The fourth proportional to 593.48, 818.86 and 341.42 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.48 : 818.86 = 341.42 : x
  2. Step 2: Convert to fraction form
    593.48/818.86 = 341.42/x
  3. Step 3: Cross multiply
    593.48x = 818.86 × 341.42
  4. Step 4: Simplify right side
    593.48x = 279,570.87
  5. Step 5: Solve for x
    x = 279,570.87/593.48
  6. Step 6: Final answer
    x = 471.07

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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.