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Finding the Fourth Proportional to 405.26, 607.42 and 188.38

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Solution

The fourth proportional to 405.26, 607.42 and 188.38 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 607.42 = 188.38 : x
  2. Step 2: Convert to fraction form
    405.26/607.42 = 188.38/x
  3. Step 3: Cross multiply
    405.26x = 607.42 × 188.38
  4. Step 4: Simplify right side
    405.26x = 114,425.78
  5. Step 5: Solve for x
    x = 114,425.78/405.26
  6. Step 6: Final answer
    x = 282.35

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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.