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Finding the Fourth Proportional to 653.96, 902.36 and 405.28

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Solution

The fourth proportional to 653.96, 902.36 and 405.28 is: 559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.96 : 902.36 = 405.28 : x
  2. Step 2: Convert to fraction form
    653.96/902.36 = 405.28/x
  3. Step 3: Cross multiply
    653.96x = 902.36 × 405.28
  4. Step 4: Simplify right side
    653.96x = 365,708.46
  5. Step 5: Solve for x
    x = 365,708.46/653.96
  6. Step 6: Final answer
    x = 559.22

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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.