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Finding the Fourth Proportional to 358.29, 494.54 and 210.98

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Solution

The fourth proportional to 358.29, 494.54 and 210.98 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.29 : 494.54 = 210.98 : x
  2. Step 2: Convert to fraction form
    358.29/494.54 = 210.98/x
  3. Step 3: Cross multiply
    358.29x = 494.54 × 210.98
  4. Step 4: Simplify right side
    358.29x = 104,338.05
  5. Step 5: Solve for x
    x = 104,338.05/358.29
  6. Step 6: Final answer
    x = 291.21

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Why These Related Problems?

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