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Finding the Fourth Proportional to 741.68, 1,113.32 and 309.14

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Solution

The fourth proportional to 741.68, 1,113.32 and 309.14 is: 464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.68 : 1,113.32 = 309.14 : x
  2. Step 2: Convert to fraction form
    741.68/1,113.32 = 309.14/x
  3. Step 3: Cross multiply
    741.68x = 1,113.32 × 309.14
  4. Step 4: Simplify right side
    741.68x = 344,171.74
  5. Step 5: Solve for x
    x = 344,171.74/741.68
  6. Step 6: Final answer
    x = 464.04

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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.