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Finding the Fourth Proportional to 446.58, 616.20 and 299.22

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Solution

The fourth proportional to 446.58, 616.20 and 299.22 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.58 : 616.20 = 299.22 : x
  2. Step 2: Convert to fraction form
    446.58/616.20 = 299.22/x
  3. Step 3: Cross multiply
    446.58x = 616.20 × 299.22
  4. Step 4: Simplify right side
    446.58x = 184,379.36
  5. Step 5: Solve for x
    x = 184,379.36/446.58
  6. Step 6: Final answer
    x = 412.87

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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.