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Finding the Fourth Proportional to 647.92, 972.11 and 277.57

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Solution

The fourth proportional to 647.92, 972.11 and 277.57 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.92 : 972.11 = 277.57 : x
  2. Step 2: Convert to fraction form
    647.92/972.11 = 277.57/x
  3. Step 3: Cross multiply
    647.92x = 972.11 × 277.57
  4. Step 4: Simplify right side
    647.92x = 269,828.92
  5. Step 5: Solve for x
    x = 269,828.92/647.92
  6. Step 6: Final answer
    x = 416.45

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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.