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Finding the Fourth Proportional to 415.30, 623.01 and 141.30

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Solution

The fourth proportional to 415.30, 623.01 and 141.30 is: 211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.30 : 623.01 = 141.30 : x
  2. Step 2: Convert to fraction form
    415.30/623.01 = 141.30/x
  3. Step 3: Cross multiply
    415.30x = 623.01 × 141.30
  4. Step 4: Simplify right side
    415.30x = 88,031.31
  5. Step 5: Solve for x
    x = 88,031.31/415.30
  6. Step 6: Final answer
    x = 211.97

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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.