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Finding the Fourth Proportional to 494.40, 744.48 and 454.08

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Solution

The fourth proportional to 494.40, 744.48 and 454.08 is: 683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.40 : 744.48 = 454.08 : x
  2. Step 2: Convert to fraction form
    494.40/744.48 = 454.08/x
  3. Step 3: Cross multiply
    494.40x = 744.48 × 454.08
  4. Step 4: Simplify right side
    494.40x = 338,053.48
  5. Step 5: Solve for x
    x = 338,053.48/494.40
  6. Step 6: Final answer
    x = 683.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.