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Finding the Fourth Proportional to 466.65, 644.12 and 319.33

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Solution

The fourth proportional to 466.65, 644.12 and 319.33 is: 440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 644.12 = 319.33 : x
  2. Step 2: Convert to fraction form
    466.65/644.12 = 319.33/x
  3. Step 3: Cross multiply
    466.65x = 644.12 × 319.33
  4. Step 4: Simplify right side
    466.65x = 205,686.84
  5. Step 5: Solve for x
    x = 205,686.84/466.65
  6. Step 6: Final answer
    x = 440.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.