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Finding the Fourth Proportional to 936.08, 1,403.64 and 286.64

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Solution

The fourth proportional to 936.08, 1,403.64 and 286.64 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.08 : 1,403.64 = 286.64 : x
  2. Step 2: Convert to fraction form
    936.08/1,403.64 = 286.64/x
  3. Step 3: Cross multiply
    936.08x = 1,403.64 × 286.64
  4. Step 4: Simplify right side
    936.08x = 402,339.37
  5. Step 5: Solve for x
    x = 402,339.37/936.08
  6. Step 6: Final answer
    x = 429.81

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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.