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Finding the Fourth Proportional to 743.23, 1,114.71 and 310.15

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Solution

The fourth proportional to 743.23, 1,114.71 and 310.15 is: 465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.23 : 1,114.71 = 310.15 : x
  2. Step 2: Convert to fraction form
    743.23/1,114.71 = 310.15/x
  3. Step 3: Cross multiply
    743.23x = 1,114.71 × 310.15
  4. Step 4: Simplify right side
    743.23x = 345,727.31
  5. Step 5: Solve for x
    x = 345,727.31/743.23
  6. Step 6: Final answer
    x = 465.17

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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.