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Finding the Fourth Proportional to 284.40, 392.70 and 231.95

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Solution

The fourth proportional to 284.40, 392.70 and 231.95 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 392.70 = 231.95 : x
  2. Step 2: Convert to fraction form
    284.40/392.70 = 231.95/x
  3. Step 3: Cross multiply
    284.40x = 392.70 × 231.95
  4. Step 4: Simplify right side
    284.40x = 91,086.77
  5. Step 5: Solve for x
    x = 91,086.77/284.40
  6. Step 6: Final answer
    x = 320.28

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