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Finding the Fourth Proportional to 656.39, 985.19 and 331.98

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Solution

The fourth proportional to 656.39, 985.19 and 331.98 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.39 : 985.19 = 331.98 : x
  2. Step 2: Convert to fraction form
    656.39/985.19 = 331.98/x
  3. Step 3: Cross multiply
    656.39x = 985.19 × 331.98
  4. Step 4: Simplify right side
    656.39x = 327,061.72
  5. Step 5: Solve for x
    x = 327,061.72/656.39
  6. Step 6: Final answer
    x = 498.28

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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.