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Finding the Fourth Proportional to 455.36, 681.42 and 316.57

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Solution

The fourth proportional to 455.36, 681.42 and 316.57 is: 473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 681.42 = 316.57 : x
  2. Step 2: Convert to fraction form
    455.36/681.42 = 316.57/x
  3. Step 3: Cross multiply
    455.36x = 681.42 × 316.57
  4. Step 4: Simplify right side
    455.36x = 215,717.13
  5. Step 5: Solve for x
    x = 215,717.13/455.36
  6. Step 6: Final answer
    x = 473.73

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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.