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Finding the Fourth Proportional to 415.63, 623.94 and 329.14

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Solution

The fourth proportional to 415.63, 623.94 and 329.14 is: 494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.63 : 623.94 = 329.14 : x
  2. Step 2: Convert to fraction form
    415.63/623.94 = 329.14/x
  3. Step 3: Cross multiply
    415.63x = 623.94 × 329.14
  4. Step 4: Simplify right side
    415.63x = 205,363.61
  5. Step 5: Solve for x
    x = 205,363.61/415.63
  6. Step 6: Final answer
    x = 494.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.