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Finding the Fourth Proportional to 667.14, 920.64 and 405.16

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Solution

The fourth proportional to 667.14, 920.64 and 405.16 is: 559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 920.64 = 405.16 : x
  2. Step 2: Convert to fraction form
    667.14/920.64 = 405.16/x
  3. Step 3: Cross multiply
    667.14x = 920.64 × 405.16
  4. Step 4: Simplify right side
    667.14x = 373,006.50
  5. Step 5: Solve for x
    x = 373,006.50/667.14
  6. Step 6: Final answer
    x = 559.11

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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.