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Finding the Fourth Proportional to 647.74, 971.72 and 257.74

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Solution

The fourth proportional to 647.74, 971.72 and 257.74 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.74 : 971.72 = 257.74 : x
  2. Step 2: Convert to fraction form
    647.74/971.72 = 257.74/x
  3. Step 3: Cross multiply
    647.74x = 971.72 × 257.74
  4. Step 4: Simplify right side
    647.74x = 250,449.82
  5. Step 5: Solve for x
    x = 250,449.82/647.74
  6. Step 6: Final answer
    x = 386.65

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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.