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Finding the Fourth Proportional to 477.40, 662.53 and 458.20

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Solution

The fourth proportional to 477.40, 662.53 and 458.20 is: 635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 662.53 = 458.20 : x
  2. Step 2: Convert to fraction form
    477.40/662.53 = 458.20/x
  3. Step 3: Cross multiply
    477.40x = 662.53 × 458.20
  4. Step 4: Simplify right side
    477.40x = 303,571.25
  5. Step 5: Solve for x
    x = 303,571.25/477.40
  6. Step 6: Final answer
    x = 635.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.