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Finding the Fourth Proportional to 936.40, 1,404.72 and 286.96

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Solution

The fourth proportional to 936.40, 1,404.72 and 286.96 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.40 : 1,404.72 = 286.96 : x
  2. Step 2: Convert to fraction form
    936.40/1,404.72 = 286.96/x
  3. Step 3: Cross multiply
    936.40x = 1,404.72 × 286.96
  4. Step 4: Simplify right side
    936.40x = 403,098.45
  5. Step 5: Solve for x
    x = 403,098.45/936.40
  6. Step 6: Final answer
    x = 430.48

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