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Finding the Fourth Proportional to 506.22, 698.40 and 407.94

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Solution

The fourth proportional to 506.22, 698.40 and 407.94 is: 562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.22 : 698.40 = 407.94 : x
  2. Step 2: Convert to fraction form
    506.22/698.40 = 407.94/x
  3. Step 3: Cross multiply
    506.22x = 698.40 × 407.94
  4. Step 4: Simplify right side
    506.22x = 284,905.30
  5. Step 5: Solve for x
    x = 284,905.30/506.22
  6. Step 6: Final answer
    x = 562.81

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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.