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Finding the Fourth Proportional to 438.37, 656.53 and 243.06

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Solution

The fourth proportional to 438.37, 656.53 and 243.06 is: 364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.37 : 656.53 = 243.06 : x
  2. Step 2: Convert to fraction form
    438.37/656.53 = 243.06/x
  3. Step 3: Cross multiply
    438.37x = 656.53 × 243.06
  4. Step 4: Simplify right side
    438.37x = 159,575.57
  5. Step 5: Solve for x
    x = 159,575.57/438.37
  6. Step 6: Final answer
    x = 364.02

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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.