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Finding the Fourth Proportional to 506.06, 698.54 and 348.56

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Solution

The fourth proportional to 506.06, 698.54 and 348.56 is: 481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 698.54 = 348.56 : x
  2. Step 2: Convert to fraction form
    506.06/698.54 = 348.56/x
  3. Step 3: Cross multiply
    506.06x = 698.54 × 348.56
  4. Step 4: Simplify right side
    506.06x = 243,477.87
  5. Step 5: Solve for x
    x = 243,477.87/506.06
  6. Step 6: Final answer
    x = 481.13

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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.