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Finding the Fourth Proportional to 383.00, 528.53 and 208.34

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Solution

The fourth proportional to 383.00, 528.53 and 208.34 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.00 : 528.53 = 208.34 : x
  2. Step 2: Convert to fraction form
    383.00/528.53 = 208.34/x
  3. Step 3: Cross multiply
    383.00x = 528.53 × 208.34
  4. Step 4: Simplify right side
    383.00x = 110,111.82
  5. Step 5: Solve for x
    x = 110,111.82/383.00
  6. Step 6: Final answer
    x = 287.50

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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.