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Finding the Fourth Proportional to 364.43, 502.89 and 207.07

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Solution

The fourth proportional to 364.43, 502.89 and 207.07 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.43 : 502.89 = 207.07 : x
  2. Step 2: Convert to fraction form
    364.43/502.89 = 207.07/x
  3. Step 3: Cross multiply
    364.43x = 502.89 × 207.07
  4. Step 4: Simplify right side
    364.43x = 104,133.43
  5. Step 5: Solve for x
    x = 104,133.43/364.43
  6. Step 6: Final answer
    x = 285.74

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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.