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Finding the Fourth Proportional to 477.37, 659.02 and 337.91

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Solution

The fourth proportional to 477.37, 659.02 and 337.91 is: 466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.37 : 659.02 = 337.91 : x
  2. Step 2: Convert to fraction form
    477.37/659.02 = 337.91/x
  3. Step 3: Cross multiply
    477.37x = 659.02 × 337.91
  4. Step 4: Simplify right side
    477.37x = 222,689.45
  5. Step 5: Solve for x
    x = 222,689.45/477.37
  6. Step 6: Final answer
    x = 466.49

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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.