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Finding the Fourth Proportional to 455.96, 684.30 and 239.66

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Solution

The fourth proportional to 455.96, 684.30 and 239.66 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.96 : 684.30 = 239.66 : x
  2. Step 2: Convert to fraction form
    455.96/684.30 = 239.66/x
  3. Step 3: Cross multiply
    455.96x = 684.30 × 239.66
  4. Step 4: Simplify right side
    455.96x = 163,999.34
  5. Step 5: Solve for x
    x = 163,999.34/455.96
  6. Step 6: Final answer
    x = 359.68

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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.