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Finding the Fourth Proportional to 926.43, 1,389.71 and 310.15

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Solution

The fourth proportional to 926.43, 1,389.71 and 310.15 is: 465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.43 : 1,389.71 = 310.15 : x
  2. Step 2: Convert to fraction form
    926.43/1,389.71 = 310.15/x
  3. Step 3: Cross multiply
    926.43x = 1,389.71 × 310.15
  4. Step 4: Simplify right side
    926.43x = 431,018.56
  5. Step 5: Solve for x
    x = 431,018.56/926.43
  6. Step 6: Final answer
    x = 465.25

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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.