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Finding the Fourth Proportional to 667.41, 920.73 and 510.21

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Solution

The fourth proportional to 667.41, 920.73 and 510.21 is: 703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.41 : 920.73 = 510.21 : x
  2. Step 2: Convert to fraction form
    667.41/920.73 = 510.21/x
  3. Step 3: Cross multiply
    667.41x = 920.73 × 510.21
  4. Step 4: Simplify right side
    667.41x = 469,765.65
  5. Step 5: Solve for x
    x = 469,765.65/667.41
  6. Step 6: Final answer
    x = 703.86

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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.