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Finding the Fourth Proportional to 936.20, 1,403.78 and 358.84

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Solution

The fourth proportional to 936.20, 1,403.78 and 358.84 is: 538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.20 : 1,403.78 = 358.84 : x
  2. Step 2: Convert to fraction form
    936.20/1,403.78 = 358.84/x
  3. Step 3: Cross multiply
    936.20x = 1,403.78 × 358.84
  4. Step 4: Simplify right side
    936.20x = 503,732.42
  5. Step 5: Solve for x
    x = 503,732.42/936.20
  6. Step 6: Final answer
    x = 538.06

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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.