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Finding the Fourth Proportional to 346.78, 478.52 and 213.98

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Solution

The fourth proportional to 346.78, 478.52 and 213.98 is: 295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 478.52 = 213.98 : x
  2. Step 2: Convert to fraction form
    346.78/478.52 = 213.98/x
  3. Step 3: Cross multiply
    346.78x = 478.52 × 213.98
  4. Step 4: Simplify right side
    346.78x = 102,393.71
  5. Step 5: Solve for x
    x = 102,393.71/346.78
  6. Step 6: Final answer
    x = 295.27

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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.