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Finding the Fourth Proportional to 673.52, 928.96 and 411.32

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Solution

The fourth proportional to 673.52, 928.96 and 411.32 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.52 : 928.96 = 411.32 : x
  2. Step 2: Convert to fraction form
    673.52/928.96 = 411.32/x
  3. Step 3: Cross multiply
    673.52x = 928.96 × 411.32
  4. Step 4: Simplify right side
    673.52x = 382,099.83
  5. Step 5: Solve for x
    x = 382,099.83/673.52
  6. Step 6: Final answer
    x = 567.32

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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.