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Finding the Fourth Proportional to 520.92, 719.34 and 324.48

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Solution

The fourth proportional to 520.92, 719.34 and 324.48 is: 448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 719.34 = 324.48 : x
  2. Step 2: Convert to fraction form
    520.92/719.34 = 324.48/x
  3. Step 3: Cross multiply
    520.92x = 719.34 × 324.48
  4. Step 4: Simplify right side
    520.92x = 233,411.44
  5. Step 5: Solve for x
    x = 233,411.44/520.92
  6. Step 6: Final answer
    x = 448.08

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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.