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Finding the Fourth Proportional to 506.41, 698.76 and 293.65

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Solution

The fourth proportional to 506.41, 698.76 and 293.65 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.41 : 698.76 = 293.65 : x
  2. Step 2: Convert to fraction form
    506.41/698.76 = 293.65/x
  3. Step 3: Cross multiply
    506.41x = 698.76 × 293.65
  4. Step 4: Simplify right side
    506.41x = 205,189.13
  5. Step 5: Solve for x
    x = 205,189.13/506.41
  6. Step 6: Final answer
    x = 405.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.