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Finding the Fourth Proportional to 653.68, 902.09 and 358.96

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Solution

The fourth proportional to 653.68, 902.09 and 358.96 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.68 : 902.09 = 358.96 : x
  2. Step 2: Convert to fraction form
    653.68/902.09 = 358.96/x
  3. Step 3: Cross multiply
    653.68x = 902.09 × 358.96
  4. Step 4: Simplify right side
    653.68x = 323,812.87
  5. Step 5: Solve for x
    x = 323,812.87/653.68
  6. Step 6: Final answer
    x = 495.37

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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.