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Finding the Fourth Proportional to 889.78, 1,333.86 and 312.28

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Solution

The fourth proportional to 889.78, 1,333.86 and 312.28 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.78 : 1,333.86 = 312.28 : x
  2. Step 2: Convert to fraction form
    889.78/1,333.86 = 312.28/x
  3. Step 3: Cross multiply
    889.78x = 1,333.86 × 312.28
  4. Step 4: Simplify right side
    889.78x = 416,537.80
  5. Step 5: Solve for x
    x = 416,537.80/889.78
  6. Step 6: Final answer
    x = 468.14

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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.