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Finding the Fourth Proportional to 477.38, 716.49 and 246.42

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Solution

The fourth proportional to 477.38, 716.49 and 246.42 is: 369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.38 : 716.49 = 246.42 : x
  2. Step 2: Convert to fraction form
    477.38/716.49 = 246.42/x
  3. Step 3: Cross multiply
    477.38x = 716.49 × 246.42
  4. Step 4: Simplify right side
    477.38x = 176,557.47
  5. Step 5: Solve for x
    x = 176,557.47/477.38
  6. Step 6: Final answer
    x = 369.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.