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Finding the Fourth Proportional to 492.16, 678.80 and 334.91

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Solution

The fourth proportional to 492.16, 678.80 and 334.91 is: 461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.16 : 678.80 = 334.91 : x
  2. Step 2: Convert to fraction form
    492.16/678.80 = 334.91/x
  3. Step 3: Cross multiply
    492.16x = 678.80 × 334.91
  4. Step 4: Simplify right side
    492.16x = 227,336.91
  5. Step 5: Solve for x
    x = 227,336.91/492.16
  6. Step 6: Final answer
    x = 461.92

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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.