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Finding the Fourth Proportional to 341.20, 469.89 and 282.45

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Solution

The fourth proportional to 341.20, 469.89 and 282.45 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.20 : 469.89 = 282.45 : x
  2. Step 2: Convert to fraction form
    341.20/469.89 = 282.45/x
  3. Step 3: Cross multiply
    341.20x = 469.89 × 282.45
  4. Step 4: Simplify right side
    341.20x = 132,720.43
  5. Step 5: Solve for x
    x = 132,720.43/341.20
  6. Step 6: Final answer
    x = 388.98

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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.