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Finding the Fourth Proportional to 593.11, 817.32 and 418.15

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Solution

The fourth proportional to 593.11, 817.32 and 418.15 is: 576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.11 : 817.32 = 418.15 : x
  2. Step 2: Convert to fraction form
    593.11/817.32 = 418.15/x
  3. Step 3: Cross multiply
    593.11x = 817.32 × 418.15
  4. Step 4: Simplify right side
    593.11x = 341,762.36
  5. Step 5: Solve for x
    x = 341,762.36/593.11
  6. Step 6: Final answer
    x = 576.22

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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.