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Finding the Fourth Proportional to 470.48, 648.96 and 454.64

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Solution

The fourth proportional to 470.48, 648.96 and 454.64 is: 627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 648.96 = 454.64 : x
  2. Step 2: Convert to fraction form
    470.48/648.96 = 454.64/x
  3. Step 3: Cross multiply
    470.48x = 648.96 × 454.64
  4. Step 4: Simplify right side
    470.48x = 295,043.17
  5. Step 5: Solve for x
    x = 295,043.17/470.48
  6. Step 6: Final answer
    x = 627.11

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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.