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Finding the Fourth Proportional to 346.09, 477.42 and 214.87

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Solution

The fourth proportional to 346.09, 477.42 and 214.87 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.09 : 477.42 = 214.87 : x
  2. Step 2: Convert to fraction form
    346.09/477.42 = 214.87/x
  3. Step 3: Cross multiply
    346.09x = 477.42 × 214.87
  4. Step 4: Simplify right side
    346.09x = 102,583.24
  5. Step 5: Solve for x
    x = 102,583.24/346.09
  6. Step 6: Final answer
    x = 296.41

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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.