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Finding the Fourth Proportional to 649.51, 973.69 and 284.01

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Solution

The fourth proportional to 649.51, 973.69 and 284.01 is: 425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.51 : 973.69 = 284.01 : x
  2. Step 2: Convert to fraction form
    649.51/973.69 = 284.01/x
  3. Step 3: Cross multiply
    649.51x = 973.69 × 284.01
  4. Step 4: Simplify right side
    649.51x = 276,538.56
  5. Step 5: Solve for x
    x = 276,538.56/649.51
  6. Step 6: Final answer
    x = 425.76

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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.