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Finding the Fourth Proportional to 921.57, 1,382.16 and 305.13

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Solution

The fourth proportional to 921.57, 1,382.16 and 305.13 is: 457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.57 : 1,382.16 = 305.13 : x
  2. Step 2: Convert to fraction form
    921.57/1,382.16 = 305.13/x
  3. Step 3: Cross multiply
    921.57x = 1,382.16 × 305.13
  4. Step 4: Simplify right side
    921.57x = 421,738.48
  5. Step 5: Solve for x
    x = 421,738.48/921.57
  6. Step 6: Final answer
    x = 457.63

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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.