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Finding the Fourth Proportional to 364.02, 502.09 and 336.34

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Solution

The fourth proportional to 364.02, 502.09 and 336.34 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 502.09 = 336.34 : x
  2. Step 2: Convert to fraction form
    364.02/502.09 = 336.34/x
  3. Step 3: Cross multiply
    364.02x = 502.09 × 336.34
  4. Step 4: Simplify right side
    364.02x = 168,872.95
  5. Step 5: Solve for x
    x = 168,872.95/364.02
  6. Step 6: Final answer
    x = 463.91

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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.