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Finding the Fourth Proportional to 551.80, 761.52 and 364.97

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Solution

The fourth proportional to 551.80, 761.52 and 364.97 is: 503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 761.52 = 364.97 : x
  2. Step 2: Convert to fraction form
    551.80/761.52 = 364.97/x
  3. Step 3: Cross multiply
    551.80x = 761.52 × 364.97
  4. Step 4: Simplify right side
    551.80x = 277,935.23
  5. Step 5: Solve for x
    x = 277,935.23/551.80
  6. Step 6: Final answer
    x = 503.69

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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.