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Finding the Fourth Proportional to 415.85, 623.84 and 123.35

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Solution

The fourth proportional to 415.85, 623.84 and 123.35 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.85 : 623.84 = 123.35 : x
  2. Step 2: Convert to fraction form
    415.85/623.84 = 123.35/x
  3. Step 3: Cross multiply
    415.85x = 623.84 × 123.35
  4. Step 4: Simplify right side
    415.85x = 76,946.93
  5. Step 5: Solve for x
    x = 76,946.93/415.85
  6. Step 6: Final answer
    x = 185.04

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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.