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Finding the Fourth Proportional to 411.26, 567.07 and 317.84

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Solution

The fourth proportional to 411.26, 567.07 and 317.84 is: 438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 567.07 = 317.84 : x
  2. Step 2: Convert to fraction form
    411.26/567.07 = 317.84/x
  3. Step 3: Cross multiply
    411.26x = 567.07 × 317.84
  4. Step 4: Simplify right side
    411.26x = 180,233.90
  5. Step 5: Solve for x
    x = 180,233.90/411.26
  6. Step 6: Final answer
    x = 438.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.