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Finding the Fourth Proportional to 542.54, 816.58 and 406.32

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Solution

The fourth proportional to 542.54, 816.58 and 406.32 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.54 : 816.58 = 406.32 : x
  2. Step 2: Convert to fraction form
    542.54/816.58 = 406.32/x
  3. Step 3: Cross multiply
    542.54x = 816.58 × 406.32
  4. Step 4: Simplify right side
    542.54x = 331,792.79
  5. Step 5: Solve for x
    x = 331,792.79/542.54
  6. Step 6: Final answer
    x = 611.55

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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.