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Finding the Fourth Proportional to 461.07, 636.53 and 319.50

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Solution

The fourth proportional to 461.07, 636.53 and 319.50 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 636.53 = 319.50 : x
  2. Step 2: Convert to fraction form
    461.07/636.53 = 319.50/x
  3. Step 3: Cross multiply
    461.07x = 636.53 × 319.50
  4. Step 4: Simplify right side
    461.07x = 203,369.74
  5. Step 5: Solve for x
    x = 203,369.74/461.07
  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.