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Finding the Fourth Proportional to 495.41, 683.03 and 406.57

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Solution

The fourth proportional to 495.41, 683.03 and 406.57 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.41 : 683.03 = 406.57 : x
  2. Step 2: Convert to fraction form
    495.41/683.03 = 406.57/x
  3. Step 3: Cross multiply
    495.41x = 683.03 × 406.57
  4. Step 4: Simplify right side
    495.41x = 277,698.82
  5. Step 5: Solve for x
    x = 277,698.82/495.41
  6. Step 6: Final answer
    x = 560.54

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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.