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Finding the Fourth Proportional to 520.90, 718.11 and 324.28

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Solution

The fourth proportional to 520.90, 718.11 and 324.28 is: 447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 718.11 = 324.28 : x
  2. Step 2: Convert to fraction form
    520.90/718.11 = 324.28/x
  3. Step 3: Cross multiply
    520.90x = 718.11 × 324.28
  4. Step 4: Simplify right side
    520.90x = 232,868.71
  5. Step 5: Solve for x
    x = 232,868.71/520.90
  6. Step 6: Final answer
    x = 447.05

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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.