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Finding the Fourth Proportional to 436.56, 601.20 and 418.80

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Solution

The fourth proportional to 436.56, 601.20 and 418.80 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.56 : 601.20 = 418.80 : x
  2. Step 2: Convert to fraction form
    436.56/601.20 = 418.80/x
  3. Step 3: Cross multiply
    436.56x = 601.20 × 418.80
  4. Step 4: Simplify right side
    436.56x = 251,782.56
  5. Step 5: Solve for x
    x = 251,782.56/436.56
  6. Step 6: Final answer
    x = 576.74

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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.