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Finding the Fourth Proportional to 346.20, 476.82 and 320.24

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Solution

The fourth proportional to 346.20, 476.82 and 320.24 is: 441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.20 : 476.82 = 320.24 : x
  2. Step 2: Convert to fraction form
    346.20/476.82 = 320.24/x
  3. Step 3: Cross multiply
    346.20x = 476.82 × 320.24
  4. Step 4: Simplify right side
    346.20x = 152,696.84
  5. Step 5: Solve for x
    x = 152,696.84/346.20
  6. Step 6: Final answer
    x = 441.07

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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.