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Finding the Fourth Proportional to 649.49, 973.96 and 356.91

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Solution

The fourth proportional to 649.49, 973.96 and 356.91 is: 535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 973.96 = 356.91 : x
  2. Step 2: Convert to fraction form
    649.49/973.96 = 356.91/x
  3. Step 3: Cross multiply
    649.49x = 973.96 × 356.91
  4. Step 4: Simplify right side
    649.49x = 347,609.63
  5. Step 5: Solve for x
    x = 347,609.63/649.49
  6. Step 6: Final answer
    x = 535.20

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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.