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Finding the Fourth Proportional to 521.25, 719.06 and 344.00

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Solution

The fourth proportional to 521.25, 719.06 and 344.00 is: 474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.25 : 719.06 = 344.00 : x
  2. Step 2: Convert to fraction form
    521.25/719.06 = 344.00/x
  3. Step 3: Cross multiply
    521.25x = 719.06 × 344.00
  4. Step 4: Simplify right side
    521.25x = 247,351.32
  5. Step 5: Solve for x
    x = 247,351.32/521.25
  6. Step 6: Final answer
    x = 474.53

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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.