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Finding the Fourth Proportional to 926.97, 1,390.15 and 310.49

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Solution

The fourth proportional to 926.97, 1,390.15 and 310.49 is: 465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.97 : 1,390.15 = 310.49 : x
  2. Step 2: Convert to fraction form
    926.97/1,390.15 = 310.49/x
  3. Step 3: Cross multiply
    926.97x = 1,390.15 × 310.49
  4. Step 4: Simplify right side
    926.97x = 431,627.67
  5. Step 5: Solve for x
    x = 431,627.67/926.97
  6. Step 6: Final answer
    x = 465.63

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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.