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Finding the Fourth Proportional to 358.53, 494.64 and 211.11

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Solution

The fourth proportional to 358.53, 494.64 and 211.11 is: 291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.53 : 494.64 = 211.11 : x
  2. Step 2: Convert to fraction form
    358.53/494.64 = 211.11/x
  3. Step 3: Cross multiply
    358.53x = 494.64 × 211.11
  4. Step 4: Simplify right side
    358.53x = 104,423.45
  5. Step 5: Solve for x
    x = 104,423.45/358.53
  6. Step 6: Final answer
    x = 291.25

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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.