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Finding the Fourth Proportional to 438.46, 657.70 and 233.08

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Solution

The fourth proportional to 438.46, 657.70 and 233.08 is: 349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.46 : 657.70 = 233.08 : x
  2. Step 2: Convert to fraction form
    438.46/657.70 = 233.08/x
  3. Step 3: Cross multiply
    438.46x = 657.70 × 233.08
  4. Step 4: Simplify right side
    438.46x = 153,296.72
  5. Step 5: Solve for x
    x = 153,296.72/438.46
  6. Step 6: Final answer
    x = 349.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.