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Finding the Fourth Proportional to 653.96, 982.38 and 397.64

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Solution

The fourth proportional to 653.96, 982.38 and 397.64 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.96 : 982.38 = 397.64 : x
  2. Step 2: Convert to fraction form
    653.96/982.38 = 397.64/x
  3. Step 3: Cross multiply
    653.96x = 982.38 × 397.64
  4. Step 4: Simplify right side
    653.96x = 390,633.58
  5. Step 5: Solve for x
    x = 390,633.58/653.96
  6. Step 6: Final answer
    x = 597.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.