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Finding the Fourth Proportional to 673.04, 928.48 and 411.12

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Solution

The fourth proportional to 673.04, 928.48 and 411.12 is: 567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.04 : 928.48 = 411.12 : x
  2. Step 2: Convert to fraction form
    673.04/928.48 = 411.12/x
  3. Step 3: Cross multiply
    673.04x = 928.48 × 411.12
  4. Step 4: Simplify right side
    673.04x = 381,716.70
  5. Step 5: Solve for x
    x = 381,716.70/673.04
  6. Step 6: Final answer
    x = 567.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.