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Finding the Fourth Proportional to 657.96, 986.36 and 350.04

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Solution

The fourth proportional to 657.96, 986.36 and 350.04 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 986.36 = 350.04 : x
  2. Step 2: Convert to fraction form
    657.96/986.36 = 350.04/x
  3. Step 3: Cross multiply
    657.96x = 986.36 × 350.04
  4. Step 4: Simplify right side
    657.96x = 345,258.77
  5. Step 5: Solve for x
    x = 345,258.77/657.96
  6. Step 6: Final answer
    x = 524.75

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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.