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Finding the Fourth Proportional to 649.14, 973.50 and 283.83

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Solution

The fourth proportional to 649.14, 973.50 and 283.83 is: 425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 973.50 = 283.83 : x
  2. Step 2: Convert to fraction form
    649.14/973.50 = 283.83/x
  3. Step 3: Cross multiply
    649.14x = 973.50 × 283.83
  4. Step 4: Simplify right side
    649.14x = 276,308.51
  5. Step 5: Solve for x
    x = 276,308.51/649.14
  6. Step 6: Final answer
    x = 425.65

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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.