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Finding the Fourth Proportional to 673.68, 928.98 and 477.12

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Solution

The fourth proportional to 673.68, 928.98 and 477.12 is: 657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.68 : 928.98 = 477.12 : x
  2. Step 2: Convert to fraction form
    673.68/928.98 = 477.12/x
  3. Step 3: Cross multiply
    673.68x = 928.98 × 477.12
  4. Step 4: Simplify right side
    673.68x = 443,234.94
  5. Step 5: Solve for x
    x = 443,234.94/673.68
  6. Step 6: Final answer
    x = 657.93

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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.