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Finding the Fourth Proportional to 493.58, 681.05 and 283.76

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Solution

The fourth proportional to 493.58, 681.05 and 283.76 is: 391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.58 : 681.05 = 283.76 : x
  2. Step 2: Convert to fraction form
    493.58/681.05 = 283.76/x
  3. Step 3: Cross multiply
    493.58x = 681.05 × 283.76
  4. Step 4: Simplify right side
    493.58x = 193,254.75
  5. Step 5: Solve for x
    x = 193,254.75/493.58
  6. Step 6: Final answer
    x = 391.54

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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.