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Finding the Fourth Proportional to 455.55, 682.27 and 292.74

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Solution

The fourth proportional to 455.55, 682.27 and 292.74 is: 438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.55 : 682.27 = 292.74 : x
  2. Step 2: Convert to fraction form
    455.55/682.27 = 292.74/x
  3. Step 3: Cross multiply
    455.55x = 682.27 × 292.74
  4. Step 4: Simplify right side
    455.55x = 199,726.99
  5. Step 5: Solve for x
    x = 199,726.99/455.55
  6. Step 6: Final answer
    x = 438.43

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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.