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Finding the Fourth Proportional to 358.35, 494.52 and 210.94

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Solution

The fourth proportional to 358.35, 494.52 and 210.94 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.35 : 494.52 = 210.94 : x
  2. Step 2: Convert to fraction form
    358.35/494.52 = 210.94/x
  3. Step 3: Cross multiply
    358.35x = 494.52 × 210.94
  4. Step 4: Simplify right side
    358.35x = 104,314.05
  5. Step 5: Solve for x
    x = 104,314.05/358.35
  6. Step 6: Final answer
    x = 291.10

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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.