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Finding the Fourth Proportional to 521.41, 719.49 and 311.54

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Solution

The fourth proportional to 521.41, 719.49 and 311.54 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.41 : 719.49 = 311.54 : x
  2. Step 2: Convert to fraction form
    521.41/719.49 = 311.54/x
  3. Step 3: Cross multiply
    521.41x = 719.49 × 311.54
  4. Step 4: Simplify right side
    521.41x = 224,153.00
  5. Step 5: Solve for x
    x = 224,153.00/521.41
  6. Step 6: Final answer
    x = 429.90

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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.