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Finding the Fourth Proportional to 293.74, 404.91 and 260.98

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Solution

The fourth proportional to 293.74, 404.91 and 260.98 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.74 : 404.91 = 260.98 : x
  2. Step 2: Convert to fraction form
    293.74/404.91 = 260.98/x
  3. Step 3: Cross multiply
    293.74x = 404.91 × 260.98
  4. Step 4: Simplify right side
    293.74x = 105,673.41
  5. Step 5: Solve for x
    x = 105,673.41/293.74
  6. Step 6: Final answer
    x = 359.75

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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.