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Finding the Fourth Proportional to 455.34, 681.46 and 282.12

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Solution

The fourth proportional to 455.34, 681.46 and 282.12 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.34 : 681.46 = 282.12 : x
  2. Step 2: Convert to fraction form
    455.34/681.46 = 282.12/x
  3. Step 3: Cross multiply
    455.34x = 681.46 × 282.12
  4. Step 4: Simplify right side
    455.34x = 192,253.50
  5. Step 5: Solve for x
    x = 192,253.50/455.34
  6. Step 6: Final answer
    x = 422.22

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Why These Related Problems?

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