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Finding the Fourth Proportional to 649.09, 972.77 and 319.53

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Solution

The fourth proportional to 649.09, 972.77 and 319.53 is: 478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 972.77 = 319.53 : x
  2. Step 2: Convert to fraction form
    649.09/972.77 = 319.53/x
  3. Step 3: Cross multiply
    649.09x = 972.77 × 319.53
  4. Step 4: Simplify right side
    649.09x = 310,824.33
  5. Step 5: Solve for x
    x = 310,824.33/649.09
  6. Step 6: Final answer
    x = 478.86

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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.