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Finding the Fourth Proportional to 890.18, 1,334.25 and 342.08

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Solution

The fourth proportional to 890.18, 1,334.25 and 342.08 is: 512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.18 : 1,334.25 = 342.08 : x
  2. Step 2: Convert to fraction form
    890.18/1,334.25 = 342.08/x
  3. Step 3: Cross multiply
    890.18x = 1,334.25 × 342.08
  4. Step 4: Simplify right side
    890.18x = 456,420.24
  5. Step 5: Solve for x
    x = 456,420.24/890.18
  6. Step 6: Final answer
    x = 512.73

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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.