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Finding the Fourth Proportional to 415.26, 623.16 and 233.01

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Solution

The fourth proportional to 415.26, 623.16 and 233.01 is: 349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 623.16 = 233.01 : x
  2. Step 2: Convert to fraction form
    415.26/623.16 = 233.01/x
  3. Step 3: Cross multiply
    415.26x = 623.16 × 233.01
  4. Step 4: Simplify right side
    415.26x = 145,202.51
  5. Step 5: Solve for x
    x = 145,202.51/415.26
  6. Step 6: Final answer
    x = 349.67

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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.