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Finding the Fourth Proportional to 649.01, 973.81 and 283.75

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Solution

The fourth proportional to 649.01, 973.81 and 283.75 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.01 : 973.81 = 283.75 : x
  2. Step 2: Convert to fraction form
    649.01/973.81 = 283.75/x
  3. Step 3: Cross multiply
    649.01x = 973.81 × 283.75
  4. Step 4: Simplify right side
    649.01x = 276,316.43
  5. Step 5: Solve for x
    x = 276,316.43/649.01
  6. Step 6: Final answer
    x = 425.75

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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.