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Finding the Fourth Proportional to 649.49, 973.83 and 284

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Solution

The fourth proportional to 649.49, 973.83 and 284 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 973.83 = 284 : x
  2. Step 2: Convert to fraction form
    649.49/973.83 = 284/x
  3. Step 3: Cross multiply
    649.49x = 973.83 × 284
  4. Step 4: Simplify right side
    649.49x = 276,567.72
  5. Step 5: Solve for x
    x = 276,567.72/649.49
  6. Step 6: Final answer
    x = 425.82

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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.