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Finding the Fourth Proportional to 656.49, 905.64 and 408.10

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Solution

The fourth proportional to 656.49, 905.64 and 408.10 is: 562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.49 : 905.64 = 408.10 : x
  2. Step 2: Convert to fraction form
    656.49/905.64 = 408.10/x
  3. Step 3: Cross multiply
    656.49x = 905.64 × 408.10
  4. Step 4: Simplify right side
    656.49x = 369,591.68
  5. Step 5: Solve for x
    x = 369,591.68/656.49
  6. Step 6: Final answer
    x = 562.98

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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.