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Finding the Fourth Proportional to 455.96, 628.72 and 362.84

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Solution

The fourth proportional to 455.96, 628.72 and 362.84 is: 500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.96 : 628.72 = 362.84 : x
  2. Step 2: Convert to fraction form
    455.96/628.72 = 362.84/x
  3. Step 3: Cross multiply
    455.96x = 628.72 × 362.84
  4. Step 4: Simplify right side
    455.96x = 228,124.76
  5. Step 5: Solve for x
    x = 228,124.76/455.96
  6. Step 6: Final answer
    x = 500.32

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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.