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Finding the Fourth Proportional to 664.53, 917.19 and 454.74

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Solution

The fourth proportional to 664.53, 917.19 and 454.74 is: 627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 917.19 = 454.74 : x
  2. Step 2: Convert to fraction form
    664.53/917.19 = 454.74/x
  3. Step 3: Cross multiply
    664.53x = 917.19 × 454.74
  4. Step 4: Simplify right side
    664.53x = 417,082.98
  5. Step 5: Solve for x
    x = 417,082.98/664.53
  6. Step 6: Final answer
    x = 627.64

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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.