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Finding the Fourth Proportional to 656.56, 985.38 and 332.02

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Solution

The fourth proportional to 656.56, 985.38 and 332.02 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 985.38 = 332.02 : x
  2. Step 2: Convert to fraction form
    656.56/985.38 = 332.02/x
  3. Step 3: Cross multiply
    656.56x = 985.38 × 332.02
  4. Step 4: Simplify right side
    656.56x = 327,165.87
  5. Step 5: Solve for x
    x = 327,165.87/656.56
  6. Step 6: Final answer
    x = 498.30

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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.