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Finding the Fourth Proportional to 667.98, 920.68 and 468.87

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Solution

The fourth proportional to 667.98, 920.68 and 468.87 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.98 : 920.68 = 468.87 : x
  2. Step 2: Convert to fraction form
    667.98/920.68 = 468.87/x
  3. Step 3: Cross multiply
    667.98x = 920.68 × 468.87
  4. Step 4: Simplify right side
    667.98x = 431,682.42
  5. Step 5: Solve for x
    x = 431,682.42/667.98
  6. Step 6: Final answer
    x = 646.25

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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.