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Finding the Fourth Proportional to 455.93, 684.36 and 333.83

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Solution

The fourth proportional to 455.93, 684.36 and 333.83 is: 501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.93 : 684.36 = 333.83 : x
  2. Step 2: Convert to fraction form
    455.93/684.36 = 333.83/x
  3. Step 3: Cross multiply
    455.93x = 684.36 × 333.83
  4. Step 4: Simplify right side
    455.93x = 228,459.90
  5. Step 5: Solve for x
    x = 228,459.90/455.93
  6. Step 6: Final answer
    x = 501.09

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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.