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Finding the Fourth Proportional to 492.84, 679.68 and 405.36

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Solution

The fourth proportional to 492.84, 679.68 and 405.36 is: 559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 679.68 = 405.36 : x
  2. Step 2: Convert to fraction form
    492.84/679.68 = 405.36/x
  3. Step 3: Cross multiply
    492.84x = 679.68 × 405.36
  4. Step 4: Simplify right side
    492.84x = 275,515.08
  5. Step 5: Solve for x
    x = 275,515.08/492.84
  6. Step 6: Final answer
    x = 559.04

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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.