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Finding the Fourth Proportional to 653.94, 902.24 and 374.08

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Solution

The fourth proportional to 653.94, 902.24 and 374.08 is: 516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 902.24 = 374.08 : x
  2. Step 2: Convert to fraction form
    653.94/902.24 = 374.08/x
  3. Step 3: Cross multiply
    653.94x = 902.24 × 374.08
  4. Step 4: Simplify right side
    653.94x = 337,509.94
  5. Step 5: Solve for x
    x = 337,509.94/653.94
  6. Step 6: Final answer
    x = 516.12

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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.