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Finding the Fourth Proportional to 284.12, 391.57 and 210.30

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Solution

The fourth proportional to 284.12, 391.57 and 210.30 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.12 : 391.57 = 210.30 : x
  2. Step 2: Convert to fraction form
    284.12/391.57 = 210.30/x
  3. Step 3: Cross multiply
    284.12x = 391.57 × 210.30
  4. Step 4: Simplify right side
    284.12x = 82,349.07
  5. Step 5: Solve for x
    x = 82,349.07/284.12
  6. Step 6: Final answer
    x = 289.84

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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.