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Finding the Fourth Proportional to 470.54, 649.85 and 366.87

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Solution

The fourth proportional to 470.54, 649.85 and 366.87 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.54 : 649.85 = 366.87 : x
  2. Step 2: Convert to fraction form
    470.54/649.85 = 366.87/x
  3. Step 3: Cross multiply
    470.54x = 649.85 × 366.87
  4. Step 4: Simplify right side
    470.54x = 238,408.64
  5. Step 5: Solve for x
    x = 238,408.64/470.54
  6. Step 6: Final answer
    x = 506.68

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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.