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Finding the Fourth Proportional to 400.76, 600.78 and 208.34

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Solution

The fourth proportional to 400.76, 600.78 and 208.34 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 600.78 = 208.34 : x
  2. Step 2: Convert to fraction form
    400.76/600.78 = 208.34/x
  3. Step 3: Cross multiply
    400.76x = 600.78 × 208.34
  4. Step 4: Simplify right side
    400.76x = 125,166.51
  5. Step 5: Solve for x
    x = 125,166.51/400.76
  6. Step 6: Final answer
    x = 312.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.