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Finding the Fourth Proportional to 406.47, 609.24 and 162.93

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Solution

The fourth proportional to 406.47, 609.24 and 162.93 is: 244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 609.24 = 162.93 : x
  2. Step 2: Convert to fraction form
    406.47/609.24 = 162.93/x
  3. Step 3: Cross multiply
    406.47x = 609.24 × 162.93
  4. Step 4: Simplify right side
    406.47x = 99,263.47
  5. Step 5: Solve for x
    x = 99,263.47/406.47
  6. Step 6: Final answer
    x = 244.21

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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.