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Finding the Fourth Proportional to 521.46, 719.74 and 325.20

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Solution

The fourth proportional to 521.46, 719.74 and 325.20 is: 448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.46 : 719.74 = 325.20 : x
  2. Step 2: Convert to fraction form
    521.46/719.74 = 325.20/x
  3. Step 3: Cross multiply
    521.46x = 719.74 × 325.20
  4. Step 4: Simplify right side
    521.46x = 234,055.85
  5. Step 5: Solve for x
    x = 234,055.85/521.46
  6. Step 6: Final answer
    x = 448.85

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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.