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Finding the Fourth Proportional to 415.42, 623.37 and 209.98

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Solution

The fourth proportional to 415.42, 623.37 and 209.98 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 623.37 = 209.98 : x
  2. Step 2: Convert to fraction form
    415.42/623.37 = 209.98/x
  3. Step 3: Cross multiply
    415.42x = 623.37 × 209.98
  4. Step 4: Simplify right side
    415.42x = 130,895.23
  5. Step 5: Solve for x
    x = 130,895.23/415.42
  6. Step 6: Final answer
    x = 315.09

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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.