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Finding the Fourth Proportional to 455.85, 628.91 and 411.66

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Solution

The fourth proportional to 455.85, 628.91 and 411.66 is: 567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.85 : 628.91 = 411.66 : x
  2. Step 2: Convert to fraction form
    455.85/628.91 = 411.66/x
  3. Step 3: Cross multiply
    455.85x = 628.91 × 411.66
  4. Step 4: Simplify right side
    455.85x = 258,898.12
  5. Step 5: Solve for x
    x = 258,898.12/455.85
  6. Step 6: Final answer
    x = 567.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.