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Finding the Fourth Proportional to 926.73, 1,390.25 and 310.64

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Solution

The fourth proportional to 926.73, 1,390.25 and 310.64 is: 466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.73 : 1,390.25 = 310.64 : x
  2. Step 2: Convert to fraction form
    926.73/1,390.25 = 310.64/x
  3. Step 3: Cross multiply
    926.73x = 1,390.25 × 310.64
  4. Step 4: Simplify right side
    926.73x = 431,861.09
  5. Step 5: Solve for x
    x = 431,861.09/926.73
  6. Step 6: Final answer
    x = 466.01

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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.