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Finding the Fourth Proportional to 894.43, 1,341.31 and 309.28

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Solution

The fourth proportional to 894.43, 1,341.31 and 309.28 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.43 : 1,341.31 = 309.28 : x
  2. Step 2: Convert to fraction form
    894.43/1,341.31 = 309.28/x
  3. Step 3: Cross multiply
    894.43x = 1,341.31 × 309.28
  4. Step 4: Simplify right side
    894.43x = 414,840.36
  5. Step 5: Solve for x
    x = 414,840.36/894.43
  6. Step 6: Final answer
    x = 463.80

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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.