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Finding the Fourth Proportional to 543.42, 811.64 and 540.06

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Solution

The fourth proportional to 543.42, 811.64 and 540.06 is: 806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.42 : 811.64 = 540.06 : x
  2. Step 2: Convert to fraction form
    543.42/811.64 = 540.06/x
  3. Step 3: Cross multiply
    543.42x = 811.64 × 540.06
  4. Step 4: Simplify right side
    543.42x = 438,331.60
  5. Step 5: Solve for x
    x = 438,331.60/543.42
  6. Step 6: Final answer
    x = 806.62

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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.