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Finding the Fourth Proportional to 394.83, 543.36 and 384.66

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Solution

The fourth proportional to 394.83, 543.36 and 384.66 is: 529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.83 : 543.36 = 384.66 : x
  2. Step 2: Convert to fraction form
    394.83/543.36 = 384.66/x
  3. Step 3: Cross multiply
    394.83x = 543.36 × 384.66
  4. Step 4: Simplify right side
    394.83x = 209,008.86
  5. Step 5: Solve for x
    x = 209,008.86/394.83
  6. Step 6: Final answer
    x = 529.36

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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.