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Finding the Fourth Proportional to 415.40, 623.10 and 209.68

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Solution

The fourth proportional to 415.40, 623.10 and 209.68 is: 314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 623.10 = 209.68 : x
  2. Step 2: Convert to fraction form
    415.40/623.10 = 209.68/x
  3. Step 3: Cross multiply
    415.40x = 623.10 × 209.68
  4. Step 4: Simplify right side
    415.40x = 130,651.61
  5. Step 5: Solve for x
    x = 130,651.61/415.40
  6. Step 6: Final answer
    x = 314.52

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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.