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Finding the Fourth Proportional to 894.87, 1,342.40 and 309.79

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Solution

The fourth proportional to 894.87, 1,342.40 and 309.79 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.87 : 1,342.40 = 309.79 : x
  2. Step 2: Convert to fraction form
    894.87/1,342.40 = 309.79/x
  3. Step 3: Cross multiply
    894.87x = 1,342.40 × 309.79
  4. Step 4: Simplify right side
    894.87x = 415,862.10
  5. Step 5: Solve for x
    x = 415,862.10/894.87
  6. Step 6: Final answer
    x = 464.72

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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.