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Finding the Fourth Proportional to 438.34, 657.78 and 233.06

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Solution

The fourth proportional to 438.34, 657.78 and 233.06 is: 349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.34 : 657.78 = 233.06 : x
  2. Step 2: Convert to fraction form
    438.34/657.78 = 233.06/x
  3. Step 3: Cross multiply
    438.34x = 657.78 × 233.06
  4. Step 4: Simplify right side
    438.34x = 153,302.21
  5. Step 5: Solve for x
    x = 153,302.21/438.34
  6. Step 6: Final answer
    x = 349.73

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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.