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Finding the Fourth Proportional to 466.65, 644.27 and 319.48

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Solution

The fourth proportional to 466.65, 644.27 and 319.48 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 644.27 = 319.48 : x
  2. Step 2: Convert to fraction form
    466.65/644.27 = 319.48/x
  3. Step 3: Cross multiply
    466.65x = 644.27 × 319.48
  4. Step 4: Simplify right side
    466.65x = 205,831.38
  5. Step 5: Solve for x
    x = 205,831.38/466.65
  6. Step 6: Final answer
    x = 441.08

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Why These Related Problems?

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