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Finding the Fourth Proportional to 485.86, 727.56 and 382.60

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Solution

The fourth proportional to 485.86, 727.56 and 382.60 is: 572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.86 : 727.56 = 382.60 : x
  2. Step 2: Convert to fraction form
    485.86/727.56 = 382.60/x
  3. Step 3: Cross multiply
    485.86x = 727.56 × 382.60
  4. Step 4: Simplify right side
    485.86x = 278,364.46
  5. Step 5: Solve for x
    x = 278,364.46/485.86
  6. Step 6: Final answer
    x = 572.93

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Why These Related Problems?

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