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Finding the Fourth Proportional to 493.48, 681.06 and 283.69

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Solution

The fourth proportional to 493.48, 681.06 and 283.69 is: 391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 681.06 = 283.69 : x
  2. Step 2: Convert to fraction form
    493.48/681.06 = 283.69/x
  3. Step 3: Cross multiply
    493.48x = 681.06 × 283.69
  4. Step 4: Simplify right side
    493.48x = 193,209.91
  5. Step 5: Solve for x
    x = 193,209.91/493.48
  6. Step 6: Final answer
    x = 391.53

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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.