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Finding the Fourth Proportional to 647.54, 971.14 and 282.25

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Solution

The fourth proportional to 647.54, 971.14 and 282.25 is: 423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.54 : 971.14 = 282.25 : x
  2. Step 2: Convert to fraction form
    647.54/971.14 = 282.25/x
  3. Step 3: Cross multiply
    647.54x = 971.14 × 282.25
  4. Step 4: Simplify right side
    647.54x = 274,104.27
  5. Step 5: Solve for x
    x = 274,104.27/647.54
  6. Step 6: Final answer
    x = 423.30

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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.