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Finding the Fourth Proportional to 485.55, 725.04 and 381.66

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Solution

The fourth proportional to 485.55, 725.04 and 381.66 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.55 : 725.04 = 381.66 : x
  2. Step 2: Convert to fraction form
    485.55/725.04 = 381.66/x
  3. Step 3: Cross multiply
    485.55x = 725.04 × 381.66
  4. Step 4: Simplify right side
    485.55x = 276,718.77
  5. Step 5: Solve for x
    x = 276,718.77/485.55
  6. Step 6: Final answer
    x = 569.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.