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Finding the Fourth Proportional to 473.64, 708.32 and 319.33

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Solution

The fourth proportional to 473.64, 708.32 and 319.33 is: 477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 708.32 = 319.33 : x
  2. Step 2: Convert to fraction form
    473.64/708.32 = 319.33/x
  3. Step 3: Cross multiply
    473.64x = 708.32 × 319.33
  4. Step 4: Simplify right side
    473.64x = 226,187.83
  5. Step 5: Solve for x
    x = 226,187.83/473.64
  6. Step 6: Final answer
    x = 477.55

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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.