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Finding the Fourth Proportional to 656.28, 905.96 and 407.94

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Solution

The fourth proportional to 656.28, 905.96 and 407.94 is: 563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.28 : 905.96 = 407.94 : x
  2. Step 2: Convert to fraction form
    656.28/905.96 = 407.94/x
  3. Step 3: Cross multiply
    656.28x = 905.96 × 407.94
  4. Step 4: Simplify right side
    656.28x = 369,577.32
  5. Step 5: Solve for x
    x = 369,577.32/656.28
  6. Step 6: Final answer
    x = 563.14

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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.