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Finding the Fourth Proportional to 455.95, 684.42 and 293.77

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Solution

The fourth proportional to 455.95, 684.42 and 293.77 is: 440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.95 : 684.42 = 293.77 : x
  2. Step 2: Convert to fraction form
    455.95/684.42 = 293.77/x
  3. Step 3: Cross multiply
    455.95x = 684.42 × 293.77
  4. Step 4: Simplify right side
    455.95x = 201,062.06
  5. Step 5: Solve for x
    x = 201,062.06/455.95
  6. Step 6: Final answer
    x = 440.97

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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.