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Finding the Fourth Proportional to 493.95, 681.57 and 284.14

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Solution

The fourth proportional to 493.95, 681.57 and 284.14 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.95 : 681.57 = 284.14 : x
  2. Step 2: Convert to fraction form
    493.95/681.57 = 284.14/x
  3. Step 3: Cross multiply
    493.95x = 681.57 × 284.14
  4. Step 4: Simplify right side
    493.95x = 193,657.89
  5. Step 5: Solve for x
    x = 193,657.89/493.95
  6. Step 6: Final answer
    x = 392.06

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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.