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Finding the Fourth Proportional to 352.54, 529.08 and 259.84

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Solution

The fourth proportional to 352.54, 529.08 and 259.84 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.54 : 529.08 = 259.84 : x
  2. Step 2: Convert to fraction form
    352.54/529.08 = 259.84/x
  3. Step 3: Cross multiply
    352.54x = 529.08 × 259.84
  4. Step 4: Simplify right side
    352.54x = 137,476.15
  5. Step 5: Solve for x
    x = 137,476.15/352.54
  6. Step 6: Final answer
    x = 389.96

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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.