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Finding the Fourth Proportional to 477.36, 654.48 and 454.68

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Solution

The fourth proportional to 477.36, 654.48 and 454.68 is: 623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 654.48 = 454.68 : x
  2. Step 2: Convert to fraction form
    477.36/654.48 = 454.68/x
  3. Step 3: Cross multiply
    477.36x = 654.48 × 454.68
  4. Step 4: Simplify right side
    477.36x = 297,578.97
  5. Step 5: Solve for x
    x = 297,578.97/477.36
  6. Step 6: Final answer
    x = 623.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.