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Finding the Fourth Proportional to 551.24, 760.75 and 364.40

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Solution

The fourth proportional to 551.24, 760.75 and 364.40 is: 502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.24 : 760.75 = 364.40 : x
  2. Step 2: Convert to fraction form
    551.24/760.75 = 364.40/x
  3. Step 3: Cross multiply
    551.24x = 760.75 × 364.40
  4. Step 4: Simplify right side
    551.24x = 277,219.72
  5. Step 5: Solve for x
    x = 277,219.72/551.24
  6. Step 6: Final answer
    x = 502.90

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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.