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Finding the Fourth Proportional to 617.01, 924.29 and 433.84

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Solution

The fourth proportional to 617.01, 924.29 and 433.84 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.01 : 924.29 = 433.84 : x
  2. Step 2: Convert to fraction form
    617.01/924.29 = 433.84/x
  3. Step 3: Cross multiply
    617.01x = 924.29 × 433.84
  4. Step 4: Simplify right side
    617.01x = 400,993.97
  5. Step 5: Solve for x
    x = 400,993.97/617.01
  6. Step 6: Final answer
    x = 649.90

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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.