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Finding the Fourth Proportional to 642.64, 964.28 and 473.04

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Solution

The fourth proportional to 642.64, 964.28 and 473.04 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 964.28 = 473.04 : x
  2. Step 2: Convert to fraction form
    642.64/964.28 = 473.04/x
  3. Step 3: Cross multiply
    642.64x = 964.28 × 473.04
  4. Step 4: Simplify right side
    642.64x = 456,143.01
  5. Step 5: Solve for x
    x = 456,143.01/642.64
  6. Step 6: Final answer
    x = 709.80

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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.