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Finding the Fourth Proportional to 450.02, 617.16 and 431.31

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Solution

The fourth proportional to 450.02, 617.16 and 431.31 is: 591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.02 : 617.16 = 431.31 : x
  2. Step 2: Convert to fraction form
    450.02/617.16 = 431.31/x
  3. Step 3: Cross multiply
    450.02x = 617.16 × 431.31
  4. Step 4: Simplify right side
    450.02x = 266,187.28
  5. Step 5: Solve for x
    x = 266,187.28/450.02
  6. Step 6: Final answer
    x = 591.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.