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Finding the Fourth Proportional to 394.04, 543.84 and 384.86

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Solution

The fourth proportional to 394.04, 543.84 and 384.86 is: 531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 543.84 = 384.86 : x
  2. Step 2: Convert to fraction form
    394.04/543.84 = 384.86/x
  3. Step 3: Cross multiply
    394.04x = 543.84 × 384.86
  4. Step 4: Simplify right side
    394.04x = 209,302.26
  5. Step 5: Solve for x
    x = 209,302.26/394.04
  6. Step 6: Final answer
    x = 531.17

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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.