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Finding the Fourth Proportional to 647.08, 969.32 and 472.88

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Solution

The fourth proportional to 647.08, 969.32 and 472.88 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.08 : 969.32 = 472.88 : x
  2. Step 2: Convert to fraction form
    647.08/969.32 = 472.88/x
  3. Step 3: Cross multiply
    647.08x = 969.32 × 472.88
  4. Step 4: Simplify right side
    647.08x = 458,375.65
  5. Step 5: Solve for x
    x = 458,375.65/647.08
  6. Step 6: Final answer
    x = 708.38

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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.