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Finding the Fourth Proportional to 455.86, 683.79 and 284.98

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Solution

The fourth proportional to 455.86, 683.79 and 284.98 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 683.79 = 284.98 : x
  2. Step 2: Convert to fraction form
    455.86/683.79 = 284.98/x
  3. Step 3: Cross multiply
    455.86x = 683.79 × 284.98
  4. Step 4: Simplify right side
    455.86x = 194,866.47
  5. Step 5: Solve for x
    x = 194,866.47/455.86
  6. Step 6: Final answer
    x = 427.47

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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.