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Finding the Fourth Proportional to 415.07, 623.08 and 328.69

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Solution

The fourth proportional to 415.07, 623.08 and 328.69 is: 493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.07 : 623.08 = 328.69 : x
  2. Step 2: Convert to fraction form
    415.07/623.08 = 328.69/x
  3. Step 3: Cross multiply
    415.07x = 623.08 × 328.69
  4. Step 4: Simplify right side
    415.07x = 204,797.79
  5. Step 5: Solve for x
    x = 204,797.79/415.07
  6. Step 6: Final answer
    x = 493.41

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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.