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Finding the Fourth Proportional to 407.57, 610.88 and 190.69

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Solution

The fourth proportional to 407.57, 610.88 and 190.69 is: 285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.57 : 610.88 = 190.69 : x
  2. Step 2: Convert to fraction form
    407.57/610.88 = 190.69/x
  3. Step 3: Cross multiply
    407.57x = 610.88 × 190.69
  4. Step 4: Simplify right side
    407.57x = 116,486.23
  5. Step 5: Solve for x
    x = 116,486.23/407.57
  6. Step 6: Final answer
    x = 285.81

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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.