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Finding the Fourth Proportional to 647.71, 971.02 and 257.46

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Solution

The fourth proportional to 647.71, 971.02 and 257.46 is: 385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.71 : 971.02 = 257.46 : x
  2. Step 2: Convert to fraction form
    647.71/971.02 = 257.46/x
  3. Step 3: Cross multiply
    647.71x = 971.02 × 257.46
  4. Step 4: Simplify right side
    647.71x = 249,997.52
  5. Step 5: Solve for x
    x = 249,997.52/647.71
  6. Step 6: Final answer
    x = 385.97

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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.