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Finding the Fourth Proportional to 415.48, 623.73 and 233.02

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Solution

The fourth proportional to 415.48, 623.73 and 233.02 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.48 : 623.73 = 233.02 : x
  2. Step 2: Convert to fraction form
    415.48/623.73 = 233.02/x
  3. Step 3: Cross multiply
    415.48x = 623.73 × 233.02
  4. Step 4: Simplify right side
    415.48x = 145,341.56
  5. Step 5: Solve for x
    x = 145,341.56/415.48
  6. Step 6: Final answer
    x = 349.82

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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.