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Finding the Fourth Proportional to 649.36, 973.86 and 284.06

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Solution

The fourth proportional to 649.36, 973.86 and 284.06 is: 426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 973.86 = 284.06 : x
  2. Step 2: Convert to fraction form
    649.36/973.86 = 284.06/x
  3. Step 3: Cross multiply
    649.36x = 973.86 × 284.06
  4. Step 4: Simplify right side
    649.36x = 276,634.67
  5. Step 5: Solve for x
    x = 276,634.67/649.36
  6. Step 6: Final answer
    x = 426.01

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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.