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Finding the Fourth Proportional to 926.49, 1,389.93 and 310.17

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Solution

The fourth proportional to 926.49, 1,389.93 and 310.17 is: 465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.49 : 1,389.93 = 310.17 : x
  2. Step 2: Convert to fraction form
    926.49/1,389.93 = 310.17/x
  3. Step 3: Cross multiply
    926.49x = 1,389.93 × 310.17
  4. Step 4: Simplify right side
    926.49x = 431,114.59
  5. Step 5: Solve for x
    x = 431,114.59/926.49
  6. Step 6: Final answer
    x = 465.32

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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.