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Finding the Fourth Proportional to 1,475.15, 2,212.82 and 379.52

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Solution

The fourth proportional to 1,475.15, 2,212.82 and 379.52 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.15 : 2,212.82 = 379.52 : x
  2. Step 2: Convert to fraction form
    1,475.15/2,212.82 = 379.52/x
  3. Step 3: Cross multiply
    1,475.15x = 2,212.82 × 379.52
  4. Step 4: Simplify right side
    1,475.15x = 839,806.21
  5. Step 5: Solve for x
    x = 839,806.21/1,475.15
  6. Step 6: Final answer
    x = 569.30

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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.