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Finding the Fourth Proportional to 686.21, 1,029.51 and 296.33

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Solution

The fourth proportional to 686.21, 1,029.51 and 296.33 is: 444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.21 : 1,029.51 = 296.33 : x
  2. Step 2: Convert to fraction form
    686.21/1,029.51 = 296.33/x
  3. Step 3: Cross multiply
    686.21x = 1,029.51 × 296.33
  4. Step 4: Simplify right side
    686.21x = 305,069.55
  5. Step 5: Solve for x
    x = 305,069.55/686.21
  6. Step 6: Final answer
    x = 444.57

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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.