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Finding the Fourth Proportional to 605.16, 835.65 and 473.94

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Solution

The fourth proportional to 605.16, 835.65 and 473.94 is: 654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 835.65 = 473.94 : x
  2. Step 2: Convert to fraction form
    605.16/835.65 = 473.94/x
  3. Step 3: Cross multiply
    605.16x = 835.65 × 473.94
  4. Step 4: Simplify right side
    605.16x = 396,047.96
  5. Step 5: Solve for x
    x = 396,047.96/605.16
  6. Step 6: Final answer
    x = 654.45

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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.