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Finding the Fourth Proportional to 493.82, 681.70 and 316.98

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Solution

The fourth proportional to 493.82, 681.70 and 316.98 is: 437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.82 : 681.70 = 316.98 : x
  2. Step 2: Convert to fraction form
    493.82/681.70 = 316.98/x
  3. Step 3: Cross multiply
    493.82x = 681.70 × 316.98
  4. Step 4: Simplify right side
    493.82x = 216,085.27
  5. Step 5: Solve for x
    x = 216,085.27/493.82
  6. Step 6: Final answer
    x = 437.58

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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.