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Finding the Fourth Proportional to 346.96, 478.68 and 212.32

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Solution

The fourth proportional to 346.96, 478.68 and 212.32 is: 292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.96 : 478.68 = 212.32 : x
  2. Step 2: Convert to fraction form
    346.96/478.68 = 212.32/x
  3. Step 3: Cross multiply
    346.96x = 478.68 × 212.32
  4. Step 4: Simplify right side
    346.96x = 101,633.34
  5. Step 5: Solve for x
    x = 101,633.34/346.96
  6. Step 6: Final answer
    x = 292.93

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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.