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Finding the Fourth Proportional to 555.10, 831.84 and 323.44

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Solution

The fourth proportional to 555.10, 831.84 and 323.44 is: 484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.10 : 831.84 = 323.44 : x
  2. Step 2: Convert to fraction form
    555.10/831.84 = 323.44/x
  3. Step 3: Cross multiply
    555.10x = 831.84 × 323.44
  4. Step 4: Simplify right side
    555.10x = 269,050.33
  5. Step 5: Solve for x
    x = 269,050.33/555.10
  6. Step 6: Final answer
    x = 484.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.