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Finding the Fourth Proportional to 346.80, 478.72 and 215.92

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Solution

The fourth proportional to 346.80, 478.72 and 215.92 is: 298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 478.72 = 215.92 : x
  2. Step 2: Convert to fraction form
    346.80/478.72 = 215.92/x
  3. Step 3: Cross multiply
    346.80x = 478.72 × 215.92
  4. Step 4: Simplify right side
    346.80x = 103,365.22
  5. Step 5: Solve for x
    x = 103,365.22/346.80
  6. Step 6: Final answer
    x = 298.05

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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.