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Finding the Fourth Proportional to 405.33, 608.23 and 171.05

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Solution

The fourth proportional to 405.33, 608.23 and 171.05 is: 256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.33 : 608.23 = 171.05 : x
  2. Step 2: Convert to fraction form
    405.33/608.23 = 171.05/x
  3. Step 3: Cross multiply
    405.33x = 608.23 × 171.05
  4. Step 4: Simplify right side
    405.33x = 104,038.34
  5. Step 5: Solve for x
    x = 104,038.34/405.33
  6. Step 6: Final answer
    x = 256.67

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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.