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Finding the Fourth Proportional to 284.70, 392.67 and 214.78

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Solution

The fourth proportional to 284.70, 392.67 and 214.78 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 392.67 = 214.78 : x
  2. Step 2: Convert to fraction form
    284.70/392.67 = 214.78/x
  3. Step 3: Cross multiply
    284.70x = 392.67 × 214.78
  4. Step 4: Simplify right side
    284.70x = 84,337.66
  5. Step 5: Solve for x
    x = 84,337.66/284.70
  6. Step 6: Final answer
    x = 296.23

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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.