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Finding the Fourth Proportional to 493.84, 681.48 and 297.44

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Solution

The fourth proportional to 493.84, 681.48 and 297.44 is: 410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 681.48 = 297.44 : x
  2. Step 2: Convert to fraction form
    493.84/681.48 = 297.44/x
  3. Step 3: Cross multiply
    493.84x = 681.48 × 297.44
  4. Step 4: Simplify right side
    493.84x = 202,699.41
  5. Step 5: Solve for x
    x = 202,699.41/493.84
  6. Step 6: Final answer
    x = 410.46

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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.