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Finding the Fourth Proportional to 438.12, 604.62 and 282.96

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Solution

The fourth proportional to 438.12, 604.62 and 282.96 is: 390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 604.62 = 282.96 : x
  2. Step 2: Convert to fraction form
    438.12/604.62 = 282.96/x
  3. Step 3: Cross multiply
    438.12x = 604.62 × 282.96
  4. Step 4: Simplify right side
    438.12x = 171,083.28
  5. Step 5: Solve for x
    x = 171,083.28/438.12
  6. Step 6: Final answer
    x = 390.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.