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Finding the Fourth Proportional to 466.65, 700.08 and 329.96

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Solution

The fourth proportional to 466.65, 700.08 and 329.96 is: 495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 700.08 = 329.96 : x
  2. Step 2: Convert to fraction form
    466.65/700.08 = 329.96/x
  3. Step 3: Cross multiply
    466.65x = 700.08 × 329.96
  4. Step 4: Simplify right side
    466.65x = 230,998.40
  5. Step 5: Solve for x
    x = 230,998.40/466.65
  6. Step 6: Final answer
    x = 495.01

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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.