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Finding the Fourth Proportional to 493.44, 681.22 and 297

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Solution

The fourth proportional to 493.44, 681.22 and 297 is: 410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.44 : 681.22 = 297 : x
  2. Step 2: Convert to fraction form
    493.44/681.22 = 297/x
  3. Step 3: Cross multiply
    493.44x = 681.22 × 297
  4. Step 4: Simplify right side
    493.44x = 202,322.34
  5. Step 5: Solve for x
    x = 202,322.34/493.44
  6. Step 6: Final answer
    x = 410.02

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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.