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Finding the Fourth Proportional to 363.16, 543.84 and 259.93

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Solution

The fourth proportional to 363.16, 543.84 and 259.93 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.16 : 543.84 = 259.93 : x
  2. Step 2: Convert to fraction form
    363.16/543.84 = 259.93/x
  3. Step 3: Cross multiply
    363.16x = 543.84 × 259.93
  4. Step 4: Simplify right side
    363.16x = 141,360.33
  5. Step 5: Solve for x
    x = 141,360.33/363.16
  6. Step 6: Final answer
    x = 389.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.