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Finding the Fourth Proportional to 642.56, 964.37 and 334.50

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Solution

The fourth proportional to 642.56, 964.37 and 334.50 is: 502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.56 : 964.37 = 334.50 : x
  2. Step 2: Convert to fraction form
    642.56/964.37 = 334.50/x
  3. Step 3: Cross multiply
    642.56x = 964.37 × 334.50
  4. Step 4: Simplify right side
    642.56x = 322,580.09
  5. Step 5: Solve for x
    x = 322,580.09/642.56
  6. Step 6: Final answer
    x = 502.03

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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.