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Finding the Fourth Proportional to 673.60, 930.08 and 477.76

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Solution

The fourth proportional to 673.60, 930.08 and 477.76 is: 659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.60 : 930.08 = 477.76 : x
  2. Step 2: Convert to fraction form
    673.60/930.08 = 477.76/x
  3. Step 3: Cross multiply
    673.60x = 930.08 × 477.76
  4. Step 4: Simplify right side
    673.60x = 444,355.02
  5. Step 5: Solve for x
    x = 444,355.02/673.60
  6. Step 6: Final answer
    x = 659.67

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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.