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Finding the Fourth Proportional to 642.55, 960.06 and 475.06

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Solution

The fourth proportional to 642.55, 960.06 and 475.06 is: 709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.55 : 960.06 = 475.06 : x
  2. Step 2: Convert to fraction form
    642.55/960.06 = 475.06/x
  3. Step 3: Cross multiply
    642.55x = 960.06 × 475.06
  4. Step 4: Simplify right side
    642.55x = 456,084.27
  5. Step 5: Solve for x
    x = 456,084.27/642.55
  6. Step 6: Final answer
    x = 709.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.