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Finding the Fourth Proportional to 397.54, 598.67 and 386.60

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Solution

The fourth proportional to 397.54, 598.67 and 386.60 is: 582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.54 : 598.67 = 386.60 : x
  2. Step 2: Convert to fraction form
    397.54/598.67 = 386.60/x
  3. Step 3: Cross multiply
    397.54x = 598.67 × 386.60
  4. Step 4: Simplify right side
    397.54x = 231,445.82
  5. Step 5: Solve for x
    x = 231,445.82/397.54
  6. Step 6: Final answer
    x = 582.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.