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Finding the Fourth Proportional to 926.35, 1,389.92 and 310.14

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Solution

The fourth proportional to 926.35, 1,389.92 and 310.14 is: 465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.35 : 1,389.92 = 310.14 : x
  2. Step 2: Convert to fraction form
    926.35/1,389.92 = 310.14/x
  3. Step 3: Cross multiply
    926.35x = 1,389.92 × 310.14
  4. Step 4: Simplify right side
    926.35x = 431,069.79
  5. Step 5: Solve for x
    x = 431,069.79/926.35
  6. Step 6: Final answer
    x = 465.34

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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.