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Finding the Fourth Proportional to 358.56, 494.91 and 293.22

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Solution

The fourth proportional to 358.56, 494.91 and 293.22 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 494.91 = 293.22 : x
  2. Step 2: Convert to fraction form
    358.56/494.91 = 293.22/x
  3. Step 3: Cross multiply
    358.56x = 494.91 × 293.22
  4. Step 4: Simplify right side
    358.56x = 145,117.51
  5. Step 5: Solve for x
    x = 145,117.51/358.56
  6. Step 6: Final answer
    x = 404.72

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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.