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Finding the Fourth Proportional to 647.88, 971.57 and 282.42

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Solution

The fourth proportional to 647.88, 971.57 and 282.42 is: 423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.88 : 971.57 = 282.42 : x
  2. Step 2: Convert to fraction form
    647.88/971.57 = 282.42/x
  3. Step 3: Cross multiply
    647.88x = 971.57 × 282.42
  4. Step 4: Simplify right side
    647.88x = 274,393.33
  5. Step 5: Solve for x
    x = 274,393.33/647.88
  6. Step 6: Final answer
    x = 423.52

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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.