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Finding the Fourth Proportional to 364.62, 502.17 and 315.48

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Solution

The fourth proportional to 364.62, 502.17 and 315.48 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.62 : 502.17 = 315.48 : x
  2. Step 2: Convert to fraction form
    364.62/502.17 = 315.48/x
  3. Step 3: Cross multiply
    364.62x = 502.17 × 315.48
  4. Step 4: Simplify right side
    364.62x = 158,424.59
  5. Step 5: Solve for x
    x = 158,424.59/364.62
  6. Step 6: Final answer
    x = 434.49

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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.