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Finding the Fourth Proportional to 329.43, 493.64 and 295.01

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Solution

The fourth proportional to 329.43, 493.64 and 295.01 is: 442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.43 : 493.64 = 295.01 : x
  2. Step 2: Convert to fraction form
    329.43/493.64 = 295.01/x
  3. Step 3: Cross multiply
    329.43x = 493.64 × 295.01
  4. Step 4: Simplify right side
    329.43x = 145,624.79
  5. Step 5: Solve for x
    x = 145,624.79/329.43
  6. Step 6: Final answer
    x = 442.05

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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.