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Finding the Fourth Proportional to 523.28, 719.99 and 453.12

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Solution

The fourth proportional to 523.28, 719.99 and 453.12 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 719.99 = 453.12 : x
  2. Step 2: Convert to fraction form
    523.28/719.99 = 453.12/x
  3. Step 3: Cross multiply
    523.28x = 719.99 × 453.12
  4. Step 4: Simplify right side
    523.28x = 326,243.00
  5. Step 5: Solve for x
    x = 326,243.00/523.28
  6. Step 6: Final answer
    x = 623.46

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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.