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Finding the Fourth Proportional to 433.92, 594.48 and 416.64

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Solution

The fourth proportional to 433.92, 594.48 and 416.64 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.92 : 594.48 = 416.64 : x
  2. Step 2: Convert to fraction form
    433.92/594.48 = 416.64/x
  3. Step 3: Cross multiply
    433.92x = 594.48 × 416.64
  4. Step 4: Simplify right side
    433.92x = 247,684.15
  5. Step 5: Solve for x
    x = 247,684.15/433.92
  6. Step 6: Final answer
    x = 570.81

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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.