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Finding the Fourth Proportional to 673.77, 930.08 and 508.03

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Solution

The fourth proportional to 673.77, 930.08 and 508.03 is: 701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.77 : 930.08 = 508.03 : x
  2. Step 2: Convert to fraction form
    673.77/930.08 = 508.03/x
  3. Step 3: Cross multiply
    673.77x = 930.08 × 508.03
  4. Step 4: Simplify right side
    673.77x = 472,508.54
  5. Step 5: Solve for x
    x = 472,508.54/673.77
  6. Step 6: Final answer
    x = 701.29

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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.