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Finding the Fourth Proportional to 551.21, 760.46 and 364.37

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Solution

The fourth proportional to 551.21, 760.46 and 364.37 is: 502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.21 : 760.46 = 364.37 : x
  2. Step 2: Convert to fraction form
    551.21/760.46 = 364.37/x
  3. Step 3: Cross multiply
    551.21x = 760.46 × 364.37
  4. Step 4: Simplify right side
    551.21x = 277,083.19
  5. Step 5: Solve for x
    x = 277,083.19/551.21
  6. Step 6: Final answer
    x = 502.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.