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Finding the Fourth Proportional to 506.05, 698.23 and 346.59

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Solution

The fourth proportional to 506.05, 698.23 and 346.59 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.05 : 698.23 = 346.59 : x
  2. Step 2: Convert to fraction form
    506.05/698.23 = 346.59/x
  3. Step 3: Cross multiply
    506.05x = 698.23 × 346.59
  4. Step 4: Simplify right side
    506.05x = 241,999.54
  5. Step 5: Solve for x
    x = 241,999.54/506.05
  6. Step 6: Final answer
    x = 478.21

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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.