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Finding the Fourth Proportional to 455.16, 683.86 and 378.68

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Solution

The fourth proportional to 455.16, 683.86 and 378.68 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 683.86 = 378.68 : x
  2. Step 2: Convert to fraction form
    455.16/683.86 = 378.68/x
  3. Step 3: Cross multiply
    455.16x = 683.86 × 378.68
  4. Step 4: Simplify right side
    455.16x = 258,964.10
  5. Step 5: Solve for x
    x = 258,964.10/455.16
  6. Step 6: Final answer
    x = 568.95

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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.