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Finding the Fourth Proportional to 540.22, 808.32 and 386.53

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Solution

The fourth proportional to 540.22, 808.32 and 386.53 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 808.32 = 386.53 : x
  2. Step 2: Convert to fraction form
    540.22/808.32 = 386.53/x
  3. Step 3: Cross multiply
    540.22x = 808.32 × 386.53
  4. Step 4: Simplify right side
    540.22x = 312,439.93
  5. Step 5: Solve for x
    x = 312,439.93/540.22
  6. Step 6: Final answer
    x = 578.36

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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.