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Finding the Fourth Proportional to 593.14, 817.94 and 383.42

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Solution

The fourth proportional to 593.14, 817.94 and 383.42 is: 528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.14 : 817.94 = 383.42 : x
  2. Step 2: Convert to fraction form
    593.14/817.94 = 383.42/x
  3. Step 3: Cross multiply
    593.14x = 817.94 × 383.42
  4. Step 4: Simplify right side
    593.14x = 313,615.40
  5. Step 5: Solve for x
    x = 313,615.40/593.14
  6. Step 6: Final answer
    x = 528.74

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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.