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Finding the Fourth Proportional to 647.57, 971.00 and 257.17

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Solution

The fourth proportional to 647.57, 971.00 and 257.17 is: 385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.57 : 971.00 = 257.17 : x
  2. Step 2: Convert to fraction form
    647.57/971.00 = 257.17/x
  3. Step 3: Cross multiply
    647.57x = 971.00 × 257.17
  4. Step 4: Simplify right side
    647.57x = 249,710.78
  5. Step 5: Solve for x
    x = 249,710.78/647.57
  6. Step 6: Final answer
    x = 385.62

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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.