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Finding the Fourth Proportional to 329.10, 492.98 and 314.08

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Solution

The fourth proportional to 329.10, 492.98 and 314.08 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.10 : 492.98 = 314.08 : x
  2. Step 2: Convert to fraction form
    329.10/492.98 = 314.08/x
  3. Step 3: Cross multiply
    329.10x = 492.98 × 314.08
  4. Step 4: Simplify right side
    329.10x = 154,835.16
  5. Step 5: Solve for x
    x = 154,835.16/329.10
  6. Step 6: Final answer
    x = 470.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.