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Finding the Fourth Proportional to 673.57, 930.23 and 525.98

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Solution

The fourth proportional to 673.57, 930.23 and 525.98 is: 726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.57 : 930.23 = 525.98 : x
  2. Step 2: Convert to fraction form
    673.57/930.23 = 525.98/x
  3. Step 3: Cross multiply
    673.57x = 930.23 × 525.98
  4. Step 4: Simplify right side
    673.57x = 489,285.69
  5. Step 5: Solve for x
    x = 489,285.69/673.57
  6. Step 6: Final answer
    x = 726.41

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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.