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Finding the Fourth Proportional to 358.18, 538.39 and 297.70

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Solution

The fourth proportional to 358.18, 538.39 and 297.70 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.18 : 538.39 = 297.70 : x
  2. Step 2: Convert to fraction form
    358.18/538.39 = 297.70/x
  3. Step 3: Cross multiply
    358.18x = 538.39 × 297.70
  4. Step 4: Simplify right side
    358.18x = 160,278.70
  5. Step 5: Solve for x
    x = 160,278.70/358.18
  6. Step 6: Final answer
    x = 447.48

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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.