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Finding the Fourth Proportional to 656, 905.28 and 380.16

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Solution

The fourth proportional to 656, 905.28 and 380.16 is: 524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656 : 905.28 = 380.16 : x
  2. Step 2: Convert to fraction form
    656/905.28 = 380.16/x
  3. Step 3: Cross multiply
    656x = 905.28 × 380.16
  4. Step 4: Simplify right side
    656x = 344,151.24
  5. Step 5: Solve for x
    x = 344,151.24/656
  6. Step 6: Final answer
    x = 524.62

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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.