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Finding the Fourth Proportional to 649.34, 973.45 and 283.87

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Solution

The fourth proportional to 649.34, 973.45 and 283.87 is: 425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 973.45 = 283.87 : x
  2. Step 2: Convert to fraction form
    649.34/973.45 = 283.87/x
  3. Step 3: Cross multiply
    649.34x = 973.45 × 283.87
  4. Step 4: Simplify right side
    649.34x = 276,333.25
  5. Step 5: Solve for x
    x = 276,333.25/649.34
  6. Step 6: Final answer
    x = 425.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.