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Finding the Fourth Proportional to 647.42, 971.39 and 282.24

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Solution

The fourth proportional to 647.42, 971.39 and 282.24 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.42 : 971.39 = 282.24 : x
  2. Step 2: Convert to fraction form
    647.42/971.39 = 282.24/x
  3. Step 3: Cross multiply
    647.42x = 971.39 × 282.24
  4. Step 4: Simplify right side
    647.42x = 274,165.82
  5. Step 5: Solve for x
    x = 274,165.82/647.42
  6. Step 6: Final answer
    x = 423.48

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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.