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Finding the Fourth Proportional to 383.88, 529.49 and 259.48

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Solution

The fourth proportional to 383.88, 529.49 and 259.48 is: 357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.88 : 529.49 = 259.48 : x
  2. Step 2: Convert to fraction form
    383.88/529.49 = 259.48/x
  3. Step 3: Cross multiply
    383.88x = 529.49 × 259.48
  4. Step 4: Simplify right side
    383.88x = 137,391.39
  5. Step 5: Solve for x
    x = 137,391.39/383.88
  6. Step 6: Final answer
    x = 357.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.