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Finding the Fourth Proportional to 492.17, 678.95 and 305.88

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Solution

The fourth proportional to 492.17, 678.95 and 305.88 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.17 : 678.95 = 305.88 : x
  2. Step 2: Convert to fraction form
    492.17/678.95 = 305.88/x
  3. Step 3: Cross multiply
    492.17x = 678.95 × 305.88
  4. Step 4: Simplify right side
    492.17x = 207,674.60
  5. Step 5: Solve for x
    x = 207,674.60/492.17
  6. Step 6: Final answer
    x = 421.96

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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.