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Finding the Fourth Proportional to 433.56, 593.97 and 417.12

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Solution

The fourth proportional to 433.56, 593.97 and 417.12 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.56 : 593.97 = 417.12 : x
  2. Step 2: Convert to fraction form
    433.56/593.97 = 417.12/x
  3. Step 3: Cross multiply
    433.56x = 593.97 × 417.12
  4. Step 4: Simplify right side
    433.56x = 247,756.77
  5. Step 5: Solve for x
    x = 247,756.77/433.56
  6. Step 6: Final answer
    x = 571.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.