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Finding the Fourth Proportional to 647.57, 970.41 and 322.49

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Solution

The fourth proportional to 647.57, 970.41 and 322.49 is: 483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.57 : 970.41 = 322.49 : x
  2. Step 2: Convert to fraction form
    647.57/970.41 = 322.49/x
  3. Step 3: Cross multiply
    647.57x = 970.41 × 322.49
  4. Step 4: Simplify right side
    647.57x = 312,947.52
  5. Step 5: Solve for x
    x = 312,947.52/647.57
  6. Step 6: Final answer
    x = 483.26

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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.