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Finding the Fourth Proportional to 890.93, 1,336.41 and 313.82

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Solution

The fourth proportional to 890.93, 1,336.41 and 313.82 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.93 : 1,336.41 = 313.82 : x
  2. Step 2: Convert to fraction form
    890.93/1,336.41 = 313.82/x
  3. Step 3: Cross multiply
    890.93x = 1,336.41 × 313.82
  4. Step 4: Simplify right side
    890.93x = 419,392.19
  5. Step 5: Solve for x
    x = 419,392.19/890.93
  6. Step 6: Final answer
    x = 470.74

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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.