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Finding the Fourth Proportional to 436.86, 651.60 and 411.48

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Solution

The fourth proportional to 436.86, 651.60 and 411.48 is: 613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.86 : 651.60 = 411.48 : x
  2. Step 2: Convert to fraction form
    436.86/651.60 = 411.48/x
  3. Step 3: Cross multiply
    436.86x = 651.60 × 411.48
  4. Step 4: Simplify right side
    436.86x = 268,120.37
  5. Step 5: Solve for x
    x = 268,120.37/436.86
  6. Step 6: Final answer
    x = 613.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.