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Finding the Fourth Proportional to 555.12, 831.48 and 338.88

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Solution

The fourth proportional to 555.12, 831.48 and 338.88 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.12 : 831.48 = 338.88 : x
  2. Step 2: Convert to fraction form
    555.12/831.48 = 338.88/x
  3. Step 3: Cross multiply
    555.12x = 831.48 × 338.88
  4. Step 4: Simplify right side
    555.12x = 281,771.94
  5. Step 5: Solve for x
    x = 281,771.94/555.12
  6. Step 6: Final answer
    x = 507.59

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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.