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Finding the Fourth Proportional to 669.75, 924.26 and 448.35

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Solution

The fourth proportional to 669.75, 924.26 and 448.35 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.75 : 924.26 = 448.35 : x
  2. Step 2: Convert to fraction form
    669.75/924.26 = 448.35/x
  3. Step 3: Cross multiply
    669.75x = 924.26 × 448.35
  4. Step 4: Simplify right side
    669.75x = 414,389.73
  5. Step 5: Solve for x
    x = 414,389.73/669.75
  6. Step 6: Final answer
    x = 618.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.