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Finding the Fourth Proportional to 438.69, 654.63 and 380.37

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Solution

The fourth proportional to 438.69, 654.63 and 380.37 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 654.63 = 380.37 : x
  2. Step 2: Convert to fraction form
    438.69/654.63 = 380.37/x
  3. Step 3: Cross multiply
    438.69x = 654.63 × 380.37
  4. Step 4: Simplify right side
    438.69x = 249,001.61
  5. Step 5: Solve for x
    x = 249,001.61/438.69
  6. Step 6: Final answer
    x = 567.60

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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.