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Finding the Fourth Proportional to 282.70, 390.63 and 217.77

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Solution

The fourth proportional to 282.70, 390.63 and 217.77 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 390.63 = 217.77 : x
  2. Step 2: Convert to fraction form
    282.70/390.63 = 217.77/x
  3. Step 3: Cross multiply
    282.70x = 390.63 × 217.77
  4. Step 4: Simplify right side
    282.70x = 85,066.41
  5. Step 5: Solve for x
    x = 85,066.41/282.70
  6. Step 6: Final answer
    x = 300.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.