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Finding the Fourth Proportional to 647.51, 971.87 and 431.24

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Solution

The fourth proportional to 647.51, 971.87 and 431.24 is: 647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.51 : 971.87 = 431.24 : x
  2. Step 2: Convert to fraction form
    647.51/971.87 = 431.24/x
  3. Step 3: Cross multiply
    647.51x = 971.87 × 431.24
  4. Step 4: Simplify right side
    647.51x = 419,102.20
  5. Step 5: Solve for x
    x = 419,102.20/647.51
  6. Step 6: Final answer
    x = 647.26

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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.