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Finding the Fourth Proportional to 364.41, 502.83 and 207.05

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Solution

The fourth proportional to 364.41, 502.83 and 207.05 is: 285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 502.83 = 207.05 : x
  2. Step 2: Convert to fraction form
    364.41/502.83 = 207.05/x
  3. Step 3: Cross multiply
    364.41x = 502.83 × 207.05
  4. Step 4: Simplify right side
    364.41x = 104,108.44
  5. Step 5: Solve for x
    x = 104,108.44/364.41
  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.