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Finding the Fourth Proportional to 477.73, 659.73 and 451.86

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Solution

The fourth proportional to 477.73, 659.73 and 451.86 is: 624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.73 : 659.73 = 451.86 : x
  2. Step 2: Convert to fraction form
    477.73/659.73 = 451.86/x
  3. Step 3: Cross multiply
    477.73x = 659.73 × 451.86
  4. Step 4: Simplify right side
    477.73x = 298,105.60
  5. Step 5: Solve for x
    x = 298,105.60/477.73
  6. Step 6: Final answer
    x = 624.00

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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.