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Finding the Fourth Proportional to 346.50, 478.85 and 284.23

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Solution

The fourth proportional to 346.50, 478.85 and 284.23 is: 392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 478.85 = 284.23 : x
  2. Step 2: Convert to fraction form
    346.50/478.85 = 284.23/x
  3. Step 3: Cross multiply
    346.50x = 478.85 × 284.23
  4. Step 4: Simplify right side
    346.50x = 136,099.72
  5. Step 5: Solve for x
    x = 136,099.72/346.50
  6. Step 6: Final answer
    x = 392.79

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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.