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Finding the Fourth Proportional to 433.86, 594.36 and 418.08

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Solution

The fourth proportional to 433.86, 594.36 and 418.08 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 594.36 = 418.08 : x
  2. Step 2: Convert to fraction form
    433.86/594.36 = 418.08/x
  3. Step 3: Cross multiply
    433.86x = 594.36 × 418.08
  4. Step 4: Simplify right side
    433.86x = 248,490.03
  5. Step 5: Solve for x
    x = 248,490.03/433.86
  6. Step 6: Final answer
    x = 572.74

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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.