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Finding the Fourth Proportional to 647.72, 970.74 and 282.02

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Solution

The fourth proportional to 647.72, 970.74 and 282.02 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.72 : 970.74 = 282.02 : x
  2. Step 2: Convert to fraction form
    647.72/970.74 = 282.02/x
  3. Step 3: Cross multiply
    647.72x = 970.74 × 282.02
  4. Step 4: Simplify right side
    647.72x = 273,768.09
  5. Step 5: Solve for x
    x = 273,768.09/647.72
  6. Step 6: Final answer
    x = 422.66

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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.