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Finding the Fourth Proportional to 437.85, 654.80 and 389.39

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Solution

The fourth proportional to 437.85, 654.80 and 389.39 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 654.80 = 389.39 : x
  2. Step 2: Convert to fraction form
    437.85/654.80 = 389.39/x
  3. Step 3: Cross multiply
    437.85x = 654.80 × 389.39
  4. Step 4: Simplify right side
    437.85x = 254,967.35
  5. Step 5: Solve for x
    x = 254,967.35/437.85
  6. Step 6: Final answer
    x = 582.32

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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.