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Finding the Fourth Proportional to 284.35, 392.40 and 214.54

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Solution

The fourth proportional to 284.35, 392.40 and 214.54 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.35 : 392.40 = 214.54 : x
  2. Step 2: Convert to fraction form
    284.35/392.40 = 214.54/x
  3. Step 3: Cross multiply
    284.35x = 392.40 × 214.54
  4. Step 4: Simplify right side
    284.35x = 84,185.50
  5. Step 5: Solve for x
    x = 84,185.50/284.35
  6. Step 6: Final answer
    x = 296.06

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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.