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Finding the Fourth Proportional to 383.17, 528.77 and 208.51

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Solution

The fourth proportional to 383.17, 528.77 and 208.51 is: 287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.17 : 528.77 = 208.51 : x
  2. Step 2: Convert to fraction form
    383.17/528.77 = 208.51/x
  3. Step 3: Cross multiply
    383.17x = 528.77 × 208.51
  4. Step 4: Simplify right side
    383.17x = 110,253.71
  5. Step 5: Solve for x
    x = 110,253.71/383.17
  6. Step 6: Final answer
    x = 287.74

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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.