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Finding the Fourth Proportional to 450.62, 675.69 and 206.93

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Solution

The fourth proportional to 450.62, 675.69 and 206.93 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.62 : 675.69 = 206.93 : x
  2. Step 2: Convert to fraction form
    450.62/675.69 = 206.93/x
  3. Step 3: Cross multiply
    450.62x = 675.69 × 206.93
  4. Step 4: Simplify right side
    450.62x = 139,820.53
  5. Step 5: Solve for x
    x = 139,820.53/450.62
  6. Step 6: Final answer
    x = 310.28

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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.