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Finding the Fourth Proportional to 493.42, 681.57 and 382.72

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Solution

The fourth proportional to 493.42, 681.57 and 382.72 is: 528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.42 : 681.57 = 382.72 : x
  2. Step 2: Convert to fraction form
    493.42/681.57 = 382.72/x
  3. Step 3: Cross multiply
    493.42x = 681.57 × 382.72
  4. Step 4: Simplify right side
    493.42x = 260,850.47
  5. Step 5: Solve for x
    x = 260,850.47/493.42
  6. Step 6: Final answer
    x = 528.66

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Why These Related Problems?

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