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Finding the Fourth Proportional to 890.06, 1,334.01 and 312.44

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Solution

The fourth proportional to 890.06, 1,334.01 and 312.44 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.06 : 1,334.01 = 312.44 : x
  2. Step 2: Convert to fraction form
    890.06/1,334.01 = 312.44/x
  3. Step 3: Cross multiply
    890.06x = 1,334.01 × 312.44
  4. Step 4: Simplify right side
    890.06x = 416,798.08
  5. Step 5: Solve for x
    x = 416,798.08/890.06
  6. Step 6: Final answer
    x = 468.28

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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.