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Finding the Fourth Proportional to 890.02, 1,335.44 and 342.33

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Solution

The fourth proportional to 890.02, 1,335.44 and 342.33 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.02 : 1,335.44 = 342.33 : x
  2. Step 2: Convert to fraction form
    890.02/1,335.44 = 342.33/x
  3. Step 3: Cross multiply
    890.02x = 1,335.44 × 342.33
  4. Step 4: Simplify right side
    890.02x = 457,161.18
  5. Step 5: Solve for x
    x = 457,161.18/890.02
  6. Step 6: Final answer
    x = 513.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.