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Finding the Fourth Proportional to 926.17, 1,388.96 and 309.71

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Solution

The fourth proportional to 926.17, 1,388.96 and 309.71 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.17 : 1,388.96 = 309.71 : x
  2. Step 2: Convert to fraction form
    926.17/1,388.96 = 309.71/x
  3. Step 3: Cross multiply
    926.17x = 1,388.96 × 309.71
  4. Step 4: Simplify right side
    926.17x = 430,174.80
  5. Step 5: Solve for x
    x = 430,174.80/926.17
  6. Step 6: Final answer
    x = 464.47

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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.