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Finding the Fourth Proportional to 673.92, 930.60 and 412.32

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Solution

The fourth proportional to 673.92, 930.60 and 412.32 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 930.60 = 412.32 : x
  2. Step 2: Convert to fraction form
    673.92/930.60 = 412.32/x
  3. Step 3: Cross multiply
    673.92x = 930.60 × 412.32
  4. Step 4: Simplify right side
    673.92x = 383,704.99
  5. Step 5: Solve for x
    x = 383,704.99/673.92
  6. Step 6: Final answer
    x = 569.36

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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.