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Finding the Fourth Proportional to 364.05, 502.14 and 265.65

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Solution

The fourth proportional to 364.05, 502.14 and 265.65 is: 366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 502.14 = 265.65 : x
  2. Step 2: Convert to fraction form
    364.05/502.14 = 265.65/x
  3. Step 3: Cross multiply
    364.05x = 502.14 × 265.65
  4. Step 4: Simplify right side
    364.05x = 133,393.49
  5. Step 5: Solve for x
    x = 133,393.49/364.05
  6. Step 6: Final answer
    x = 366.42

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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.