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Finding the Fourth Proportional to 382.24, 569.21 and 381.16

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Solution

The fourth proportional to 382.24, 569.21 and 381.16 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 569.21 = 381.16 : x
  2. Step 2: Convert to fraction form
    382.24/569.21 = 381.16/x
  3. Step 3: Cross multiply
    382.24x = 569.21 × 381.16
  4. Step 4: Simplify right side
    382.24x = 216,960.08
  5. Step 5: Solve for x
    x = 216,960.08/382.24
  6. Step 6: Final answer
    x = 567.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.