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Finding the Fourth Proportional to 673.25, 928.13 and 477.21

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Solution

The fourth proportional to 673.25, 928.13 and 477.21 is: 657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.25 : 928.13 = 477.21 : x
  2. Step 2: Convert to fraction form
    673.25/928.13 = 477.21/x
  3. Step 3: Cross multiply
    673.25x = 928.13 × 477.21
  4. Step 4: Simplify right side
    673.25x = 442,910.53
  5. Step 5: Solve for x
    x = 442,910.53/673.25
  6. Step 6: Final answer
    x = 657.87

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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.