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Finding the Fourth Proportional to 405.29, 607.56 and 196.93

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Solution

The fourth proportional to 405.29, 607.56 and 196.93 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.29 : 607.56 = 196.93 : x
  2. Step 2: Convert to fraction form
    405.29/607.56 = 196.93/x
  3. Step 3: Cross multiply
    405.29x = 607.56 × 196.93
  4. Step 4: Simplify right side
    405.29x = 119,646.30
  5. Step 5: Solve for x
    x = 119,646.30/405.29
  6. Step 6: Final answer
    x = 295.21

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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.