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Finding the Fourth Proportional to 649.30, 973.11 and 433.06

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Solution

The fourth proportional to 649.30, 973.11 and 433.06 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.30 : 973.11 = 433.06 : x
  2. Step 2: Convert to fraction form
    649.30/973.11 = 433.06/x
  3. Step 3: Cross multiply
    649.30x = 973.11 × 433.06
  4. Step 4: Simplify right side
    649.30x = 421,415.02
  5. Step 5: Solve for x
    x = 421,415.02/649.30
  6. Step 6: Final answer
    x = 649.03

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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.