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Finding the Fourth Proportional to 358.45, 537.67 and 294.19

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Solution

The fourth proportional to 358.45, 537.67 and 294.19 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.45 : 537.67 = 294.19 : x
  2. Step 2: Convert to fraction form
    358.45/537.67 = 294.19/x
  3. Step 3: Cross multiply
    358.45x = 537.67 × 294.19
  4. Step 4: Simplify right side
    358.45x = 158,176.16
  5. Step 5: Solve for x
    x = 158,176.16/358.45
  6. Step 6: Final answer
    x = 441.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.