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Finding the Fourth Proportional to 654.80, 902.95 and 455.86

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Solution

The fourth proportional to 654.80, 902.95 and 455.86 is: 628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.80 : 902.95 = 455.86 : x
  2. Step 2: Convert to fraction form
    654.80/902.95 = 455.86/x
  3. Step 3: Cross multiply
    654.80x = 902.95 × 455.86
  4. Step 4: Simplify right side
    654.80x = 411,615.39
  5. Step 5: Solve for x
    x = 411,615.39/654.80
  6. Step 6: Final answer
    x = 628.61

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