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Finding the Fourth Proportional to 446.84, 669.36 and 263.70

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Solution

The fourth proportional to 446.84, 669.36 and 263.70 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.84 : 669.36 = 263.70 : x
  2. Step 2: Convert to fraction form
    446.84/669.36 = 263.70/x
  3. Step 3: Cross multiply
    446.84x = 669.36 × 263.70
  4. Step 4: Simplify right side
    446.84x = 176,510.23
  5. Step 5: Solve for x
    x = 176,510.23/446.84
  6. Step 6: Final answer
    x = 395.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.