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Finding the Fourth Proportional to 649.27, 973.23 and 486.46

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Solution

The fourth proportional to 649.27, 973.23 and 486.46 is: 729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 973.23 = 486.46 : x
  2. Step 2: Convert to fraction form
    649.27/973.23 = 486.46/x
  3. Step 3: Cross multiply
    649.27x = 973.23 × 486.46
  4. Step 4: Simplify right side
    649.27x = 473,437.47
  5. Step 5: Solve for x
    x = 473,437.47/649.27
  6. Step 6: Final answer
    x = 729.18

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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.