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Finding the Fourth Proportional to 364.62, 503.13 and 207.27

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Solution

The fourth proportional to 364.62, 503.13 and 207.27 is: 286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.62 : 503.13 = 207.27 : x
  2. Step 2: Convert to fraction form
    364.62/503.13 = 207.27/x
  3. Step 3: Cross multiply
    364.62x = 503.13 × 207.27
  4. Step 4: Simplify right side
    364.62x = 104,280.72
  5. Step 5: Solve for x
    x = 104,280.72/364.62
  6. Step 6: Final answer
    x = 286.00

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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.