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Finding the Fourth Proportional to 382.17, 569.43 and 341.24

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Solution

The fourth proportional to 382.17, 569.43 and 341.24 is: 508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.17 : 569.43 = 341.24 : x
  2. Step 2: Convert to fraction form
    382.17/569.43 = 341.24/x
  3. Step 3: Cross multiply
    382.17x = 569.43 × 341.24
  4. Step 4: Simplify right side
    382.17x = 194,313.72
  5. Step 5: Solve for x
    x = 194,313.72/382.17
  6. Step 6: Final answer
    x = 508.45

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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.