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Finding the Fourth Proportional to 383.41, 529.10 and 208.75

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Solution

The fourth proportional to 383.41, 529.10 and 208.75 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.41 : 529.10 = 208.75 : x
  2. Step 2: Convert to fraction form
    383.41/529.10 = 208.75/x
  3. Step 3: Cross multiply
    383.41x = 529.10 × 208.75
  4. Step 4: Simplify right side
    383.41x = 110,449.63
  5. Step 5: Solve for x
    x = 110,449.63/383.41
  6. Step 6: Final answer
    x = 288.07

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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.