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Finding the Fourth Proportional to 446.92, 616.14 and 299.32

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Solution

The fourth proportional to 446.92, 616.14 and 299.32 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.92 : 616.14 = 299.32 : x
  2. Step 2: Convert to fraction form
    446.92/616.14 = 299.32/x
  3. Step 3: Cross multiply
    446.92x = 616.14 × 299.32
  4. Step 4: Simplify right side
    446.92x = 184,423.02
  5. Step 5: Solve for x
    x = 184,423.02/446.92
  6. Step 6: Final answer
    x = 412.65

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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.