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Finding the Fourth Proportional to 673.68, 930.18 and 412.05

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Solution

The fourth proportional to 673.68, 930.18 and 412.05 is: 568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.68 : 930.18 = 412.05 : x
  2. Step 2: Convert to fraction form
    673.68/930.18 = 412.05/x
  3. Step 3: Cross multiply
    673.68x = 930.18 × 412.05
  4. Step 4: Simplify right side
    673.68x = 383,280.67
  5. Step 5: Solve for x
    x = 383,280.67/673.68
  6. Step 6: Final answer
    x = 568.94

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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.