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Finding the Fourth Proportional to 431.03, 645.57 and 199.58

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Solution

The fourth proportional to 431.03, 645.57 and 199.58 is: 298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.03 : 645.57 = 199.58 : x
  2. Step 2: Convert to fraction form
    431.03/645.57 = 199.58/x
  3. Step 3: Cross multiply
    431.03x = 645.57 × 199.58
  4. Step 4: Simplify right side
    431.03x = 128,839.63
  5. Step 5: Solve for x
    x = 128,839.63/431.03
  6. Step 6: Final answer
    x = 298.91

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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.