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Finding the Fourth Proportional to 521.25, 719.33 and 300.12

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Solution

The fourth proportional to 521.25, 719.33 and 300.12 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.25 : 719.33 = 300.12 : x
  2. Step 2: Convert to fraction form
    521.25/719.33 = 300.12/x
  3. Step 3: Cross multiply
    521.25x = 719.33 × 300.12
  4. Step 4: Simplify right side
    521.25x = 215,883.82
  5. Step 5: Solve for x
    x = 215,883.82/521.25
  6. Step 6: Final answer
    x = 414.17

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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.