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Finding the Fourth Proportional to 673.09, 928.95 and 411.05

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Solution

The fourth proportional to 673.09, 928.95 and 411.05 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.09 : 928.95 = 411.05 : x
  2. Step 2: Convert to fraction form
    673.09/928.95 = 411.05/x
  3. Step 3: Cross multiply
    673.09x = 928.95 × 411.05
  4. Step 4: Simplify right side
    673.09x = 381,844.90
  5. Step 5: Solve for x
    x = 381,844.90/673.09
  6. Step 6: Final answer
    x = 567.30

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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.