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Finding the Fourth Proportional to 477.46, 658.78 and 320.03

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Solution

The fourth proportional to 477.46, 658.78 and 320.03 is: 441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.46 : 658.78 = 320.03 : x
  2. Step 2: Convert to fraction form
    477.46/658.78 = 320.03/x
  3. Step 3: Cross multiply
    477.46x = 658.78 × 320.03
  4. Step 4: Simplify right side
    477.46x = 210,832.05
  5. Step 5: Solve for x
    x = 210,832.05/477.46
  6. Step 6: Final answer
    x = 441.57

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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.