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Finding the Fourth Proportional to 521.09, 719.10 and 288.21

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Solution

The fourth proportional to 521.09, 719.10 and 288.21 is: 397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.09 : 719.10 = 288.21 : x
  2. Step 2: Convert to fraction form
    521.09/719.10 = 288.21/x
  3. Step 3: Cross multiply
    521.09x = 719.10 × 288.21
  4. Step 4: Simplify right side
    521.09x = 207,251.81
  5. Step 5: Solve for x
    x = 207,251.81/521.09
  6. Step 6: Final answer
    x = 397.73

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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.