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Finding the Fourth Proportional to 894.15, 1,341.27 and 277.86

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Solution

The fourth proportional to 894.15, 1,341.27 and 277.86 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.15 : 1,341.27 = 277.86 : x
  2. Step 2: Convert to fraction form
    894.15/1,341.27 = 277.86/x
  3. Step 3: Cross multiply
    894.15x = 1,341.27 × 277.86
  4. Step 4: Simplify right side
    894.15x = 372,685.28
  5. Step 5: Solve for x
    x = 372,685.28/894.15
  6. Step 6: Final answer
    x = 416.80

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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.