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Finding the Fourth Proportional to 411.20, 567.51 and 263.93

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Solution

The fourth proportional to 411.20, 567.51 and 263.93 is: 364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 567.51 = 263.93 : x
  2. Step 2: Convert to fraction form
    411.20/567.51 = 263.93/x
  3. Step 3: Cross multiply
    411.20x = 567.51 × 263.93
  4. Step 4: Simplify right side
    411.20x = 149,782.91
  5. Step 5: Solve for x
    x = 149,782.91/411.20
  6. Step 6: Final answer
    x = 364.26

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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.