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Finding the Fourth Proportional to 936.81, 1,404.87 and 312

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Solution

The fourth proportional to 936.81, 1,404.87 and 312 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.81 : 1,404.87 = 312 : x
  2. Step 2: Convert to fraction form
    936.81/1,404.87 = 312/x
  3. Step 3: Cross multiply
    936.81x = 1,404.87 × 312
  4. Step 4: Simplify right side
    936.81x = 438,319.44
  5. Step 5: Solve for x
    x = 438,319.44/936.81
  6. Step 6: Final answer
    x = 467.89

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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.