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Finding the Fourth Proportional to 922.10, 1,382.64 and 305.47

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Solution

The fourth proportional to 922.10, 1,382.64 and 305.47 is: 458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.10 : 1,382.64 = 305.47 : x
  2. Step 2: Convert to fraction form
    922.10/1,382.64 = 305.47/x
  3. Step 3: Cross multiply
    922.10x = 1,382.64 × 305.47
  4. Step 4: Simplify right side
    922.10x = 422,356.91
  5. Step 5: Solve for x
    x = 422,356.91/922.10
  6. Step 6: Final answer
    x = 458.04

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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.