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Finding the Fourth Proportional to 394.16, 543.76 and 256.24

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Solution

The fourth proportional to 394.16, 543.76 and 256.24 is: 353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 543.76 = 256.24 : x
  2. Step 2: Convert to fraction form
    394.16/543.76 = 256.24/x
  3. Step 3: Cross multiply
    394.16x = 543.76 × 256.24
  4. Step 4: Simplify right side
    394.16x = 139,333.06
  5. Step 5: Solve for x
    x = 139,333.06/394.16
  6. Step 6: Final answer
    x = 353.49

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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.