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Finding the Fourth Proportional to 293.57, 404.92 and 258.57

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Solution

The fourth proportional to 293.57, 404.92 and 258.57 is: 356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.57 : 404.92 = 258.57 : x
  2. Step 2: Convert to fraction form
    293.57/404.92 = 258.57/x
  3. Step 3: Cross multiply
    293.57x = 404.92 × 258.57
  4. Step 4: Simplify right side
    293.57x = 104,700.16
  5. Step 5: Solve for x
    x = 104,700.16/293.57
  6. Step 6: Final answer
    x = 356.64

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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.