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Finding the Fourth Proportional to 383.32, 528.98 and 208.67

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Solution

The fourth proportional to 383.32, 528.98 and 208.67 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.32 : 528.98 = 208.67 : x
  2. Step 2: Convert to fraction form
    383.32/528.98 = 208.67/x
  3. Step 3: Cross multiply
    383.32x = 528.98 × 208.67
  4. Step 4: Simplify right side
    383.32x = 110,382.26
  5. Step 5: Solve for x
    x = 110,382.26/383.32
  6. Step 6: Final answer
    x = 287.96

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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.