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Finding the Fourth Proportional to 667.69, 921.51 and 405.65

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Solution

The fourth proportional to 667.69, 921.51 and 405.65 is: 559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.69 : 921.51 = 405.65 : x
  2. Step 2: Convert to fraction form
    667.69/921.51 = 405.65/x
  3. Step 3: Cross multiply
    667.69x = 921.51 × 405.65
  4. Step 4: Simplify right side
    667.69x = 373,812.84
  5. Step 5: Solve for x
    x = 373,812.84/667.69
  6. Step 6: Final answer
    x = 559.86

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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.