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Finding the Fourth Proportional to 454.37, 681.08 and 210.44

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Solution

The fourth proportional to 454.37, 681.08 and 210.44 is: 315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.37 : 681.08 = 210.44 : x
  2. Step 2: Convert to fraction form
    454.37/681.08 = 210.44/x
  3. Step 3: Cross multiply
    454.37x = 681.08 × 210.44
  4. Step 4: Simplify right side
    454.37x = 143,327.13
  5. Step 5: Solve for x
    x = 143,327.13/454.37
  6. Step 6: Final answer
    x = 315.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.