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Finding the Fourth Proportional to 300.34, 414.40 and 207.06

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Solution

The fourth proportional to 300.34, 414.40 and 207.06 is: 285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.34 : 414.40 = 207.06 : x
  2. Step 2: Convert to fraction form
    300.34/414.40 = 207.06/x
  3. Step 3: Cross multiply
    300.34x = 414.40 × 207.06
  4. Step 4: Simplify right side
    300.34x = 85,803.98
  5. Step 5: Solve for x
    x = 85,803.98/300.34
  6. Step 6: Final answer
    x = 285.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.