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Finding the Fourth Proportional to 463.66, 697.11 and 320.02

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Solution

The fourth proportional to 463.66, 697.11 and 320.02 is: 481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.66 : 697.11 = 320.02 : x
  2. Step 2: Convert to fraction form
    463.66/697.11 = 320.02/x
  3. Step 3: Cross multiply
    463.66x = 697.11 × 320.02
  4. Step 4: Simplify right side
    463.66x = 223,089.14
  5. Step 5: Solve for x
    x = 223,089.14/463.66
  6. Step 6: Final answer
    x = 481.15

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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.