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Finding the Fourth Proportional to 446.86, 616.44 and 364.06

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Solution

The fourth proportional to 446.86, 616.44 and 364.06 is: 502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.86 : 616.44 = 364.06 : x
  2. Step 2: Convert to fraction form
    446.86/616.44 = 364.06/x
  3. Step 3: Cross multiply
    446.86x = 616.44 × 364.06
  4. Step 4: Simplify right side
    446.86x = 224,421.15
  5. Step 5: Solve for x
    x = 224,421.15/446.86
  6. Step 6: Final answer
    x = 502.22

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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.