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Finding the Fourth Proportional to 473.94, 656.81 and 467.33

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Solution

The fourth proportional to 473.94, 656.81 and 467.33 is: 647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 656.81 = 467.33 : x
  2. Step 2: Convert to fraction form
    473.94/656.81 = 467.33/x
  3. Step 3: Cross multiply
    473.94x = 656.81 × 467.33
  4. Step 4: Simplify right side
    473.94x = 306,946.32
  5. Step 5: Solve for x
    x = 306,946.32/473.94
  6. Step 6: Final answer
    x = 647.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.