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Finding the Fourth Proportional to 492.12, 678.96 and 282.24

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Solution

The fourth proportional to 492.12, 678.96 and 282.24 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.12 : 678.96 = 282.24 : x
  2. Step 2: Convert to fraction form
    492.12/678.96 = 282.24/x
  3. Step 3: Cross multiply
    492.12x = 678.96 × 282.24
  4. Step 4: Simplify right side
    492.12x = 191,629.67
  5. Step 5: Solve for x
    x = 191,629.67/492.12
  6. Step 6: Final answer
    x = 389.40

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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.