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Finding the Fourth Proportional to 455.94, 683.91 and 432.86

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Solution

The fourth proportional to 455.94, 683.91 and 432.86 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.94 : 683.91 = 432.86 : x
  2. Step 2: Convert to fraction form
    455.94/683.91 = 432.86/x
  3. Step 3: Cross multiply
    455.94x = 683.91 × 432.86
  4. Step 4: Simplify right side
    455.94x = 296,033.86
  5. Step 5: Solve for x
    x = 296,033.86/455.94
  6. Step 6: Final answer
    x = 649.28

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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.