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Finding the Fourth Proportional to 485.36, 669.12 and 381.68

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Solution

The fourth proportional to 485.36, 669.12 and 381.68 is: 526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.36 : 669.12 = 381.68 : x
  2. Step 2: Convert to fraction form
    485.36/669.12 = 381.68/x
  3. Step 3: Cross multiply
    485.36x = 669.12 × 381.68
  4. Step 4: Simplify right side
    485.36x = 255,389.72
  5. Step 5: Solve for x
    x = 255,389.72/485.36
  6. Step 6: Final answer
    x = 526.19

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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.