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Finding the Fourth Proportional to 605.07, 835.47 and 464.96

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Solution

The fourth proportional to 605.07, 835.47 and 464.96 is: 642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 835.47 = 464.96 : x
  2. Step 2: Convert to fraction form
    605.07/835.47 = 464.96/x
  3. Step 3: Cross multiply
    605.07x = 835.47 × 464.96
  4. Step 4: Simplify right side
    605.07x = 388,459.90
  5. Step 5: Solve for x
    x = 388,459.90/605.07
  6. Step 6: Final answer
    x = 642.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.