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Finding the Fourth Proportional to 889.31, 1,334.17 and 312.19

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Solution

The fourth proportional to 889.31, 1,334.17 and 312.19 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.31 : 1,334.17 = 312.19 : x
  2. Step 2: Convert to fraction form
    889.31/1,334.17 = 312.19/x
  3. Step 3: Cross multiply
    889.31x = 1,334.17 × 312.19
  4. Step 4: Simplify right side
    889.31x = 416,511.59
  5. Step 5: Solve for x
    x = 416,511.59/889.31
  6. Step 6: Final answer
    x = 468.35

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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.