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Finding the Fourth Proportional to 649.80, 973.80 and 284.07

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Solution

The fourth proportional to 649.80, 973.80 and 284.07 is: 425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 973.80 = 284.07 : x
  2. Step 2: Convert to fraction form
    649.80/973.80 = 284.07/x
  3. Step 3: Cross multiply
    649.80x = 973.80 × 284.07
  4. Step 4: Simplify right side
    649.80x = 276,627.37
  5. Step 5: Solve for x
    x = 276,627.37/649.80
  6. Step 6: Final answer
    x = 425.71

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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.