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Finding the Fourth Proportional to 894.65, 1,342.20 and 309.66

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Solution

The fourth proportional to 894.65, 1,342.20 and 309.66 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.65 : 1,342.20 = 309.66 : x
  2. Step 2: Convert to fraction form
    894.65/1,342.20 = 309.66/x
  3. Step 3: Cross multiply
    894.65x = 1,342.20 × 309.66
  4. Step 4: Simplify right side
    894.65x = 415,625.65
  5. Step 5: Solve for x
    x = 415,625.65/894.65
  6. Step 6: Final answer
    x = 464.57

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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.