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Finding the Fourth Proportional to 446.06, 616.02 and 299

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Solution

The fourth proportional to 446.06, 616.02 and 299 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 616.02 = 299 : x
  2. Step 2: Convert to fraction form
    446.06/616.02 = 299/x
  3. Step 3: Cross multiply
    446.06x = 616.02 × 299
  4. Step 4: Simplify right side
    446.06x = 184,189.98
  5. Step 5: Solve for x
    x = 184,189.98/446.06
  6. Step 6: Final answer
    x = 412.93

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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.