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Finding the Fourth Proportional to 357.10, 492.86 and 298

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Solution

The fourth proportional to 357.10, 492.86 and 298 is: 411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.10 : 492.86 = 298 : x
  2. Step 2: Convert to fraction form
    357.10/492.86 = 298/x
  3. Step 3: Cross multiply
    357.10x = 492.86 × 298
  4. Step 4: Simplify right side
    357.10x = 146,872.28
  5. Step 5: Solve for x
    x = 146,872.28/357.10
  6. Step 6: Final answer
    x = 411.29

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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.