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Finding the Fourth Proportional to 653.75, 902.32 and 401.61

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Solution

The fourth proportional to 653.75, 902.32 and 401.61 is: 554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.75 : 902.32 = 401.61 : x
  2. Step 2: Convert to fraction form
    653.75/902.32 = 401.61/x
  3. Step 3: Cross multiply
    653.75x = 902.32 × 401.61
  4. Step 4: Simplify right side
    653.75x = 362,385.37
  5. Step 5: Solve for x
    x = 362,385.37/653.75
  6. Step 6: Final answer
    x = 554.32

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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.