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Finding the Fourth Proportional to 438.62, 654.72 and 386.73

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Solution

The fourth proportional to 438.62, 654.72 and 386.73 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.62 : 654.72 = 386.73 : x
  2. Step 2: Convert to fraction form
    438.62/654.72 = 386.73/x
  3. Step 3: Cross multiply
    438.62x = 654.72 × 386.73
  4. Step 4: Simplify right side
    438.62x = 253,199.87
  5. Step 5: Solve for x
    x = 253,199.87/438.62
  6. Step 6: Final answer
    x = 577.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.