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Finding the Fourth Proportional to 364.67, 503.25 and 207.30

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Solution

The fourth proportional to 364.67, 503.25 and 207.30 is: 286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.67 : 503.25 = 207.30 : x
  2. Step 2: Convert to fraction form
    364.67/503.25 = 207.30/x
  3. Step 3: Cross multiply
    364.67x = 503.25 × 207.30
  4. Step 4: Simplify right side
    364.67x = 104,323.73
  5. Step 5: Solve for x
    x = 104,323.73/364.67
  6. Step 6: Final answer
    x = 286.08

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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.