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Finding the Fourth Proportional to 286.47, 430.23 and 274.87

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Solution

The fourth proportional to 286.47, 430.23 and 274.87 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.47 : 430.23 = 274.87 : x
  2. Step 2: Convert to fraction form
    286.47/430.23 = 274.87/x
  3. Step 3: Cross multiply
    286.47x = 430.23 × 274.87
  4. Step 4: Simplify right side
    286.47x = 118,255.95
  5. Step 5: Solve for x
    x = 118,255.95/286.47
  6. Step 6: Final answer
    x = 412.80

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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.