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Finding the Fourth Proportional to 341.08, 469.87 and 281.82

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Solution

The fourth proportional to 341.08, 469.87 and 281.82 is: 388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.08 : 469.87 = 281.82 : x
  2. Step 2: Convert to fraction form
    341.08/469.87 = 281.82/x
  3. Step 3: Cross multiply
    341.08x = 469.87 × 281.82
  4. Step 4: Simplify right side
    341.08x = 132,418.76
  5. Step 5: Solve for x
    x = 132,418.76/341.08
  6. Step 6: Final answer
    x = 388.23

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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.