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Finding the Fourth Proportional to 405.78, 607.80 and 199.92

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Solution

The fourth proportional to 405.78, 607.80 and 199.92 is: 299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.78 : 607.80 = 199.92 : x
  2. Step 2: Convert to fraction form
    405.78/607.80 = 199.92/x
  3. Step 3: Cross multiply
    405.78x = 607.80 × 199.92
  4. Step 4: Simplify right side
    405.78x = 121,511.38
  5. Step 5: Solve for x
    x = 121,511.38/405.78
  6. Step 6: Final answer
    x = 299.45

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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.