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Finding the Fourth Proportional to 415.52, 623.38 and 123.01

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Solution

The fourth proportional to 415.52, 623.38 and 123.01 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 623.38 = 123.01 : x
  2. Step 2: Convert to fraction form
    415.52/623.38 = 123.01/x
  3. Step 3: Cross multiply
    415.52x = 623.38 × 123.01
  4. Step 4: Simplify right side
    415.52x = 76,681.97
  5. Step 5: Solve for x
    x = 76,681.97/415.52
  6. Step 6: Final answer
    x = 184.54

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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.