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Finding the Fourth Proportional to 283.34, 422.69 and 279.70

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Solution

The fourth proportional to 283.34, 422.69 and 279.70 is: 417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.34 : 422.69 = 279.70 : x
  2. Step 2: Convert to fraction form
    283.34/422.69 = 279.70/x
  3. Step 3: Cross multiply
    283.34x = 422.69 × 279.70
  4. Step 4: Simplify right side
    283.34x = 118,223.94
  5. Step 5: Solve for x
    x = 118,223.94/283.34
  6. Step 6: Final answer
    x = 417.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.