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Finding the Fourth Proportional to 493.98, 681.66 and 406.50

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Solution

The fourth proportional to 493.98, 681.66 and 406.50 is: 560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.98 : 681.66 = 406.50 : x
  2. Step 2: Convert to fraction form
    493.98/681.66 = 406.50/x
  3. Step 3: Cross multiply
    493.98x = 681.66 × 406.50
  4. Step 4: Simplify right side
    493.98x = 277,094.79
  5. Step 5: Solve for x
    x = 277,094.79/493.98
  6. Step 6: Final answer
    x = 560.94

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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.