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Finding the Fourth Proportional to 605.02, 834.62 and 457.40

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Solution

The fourth proportional to 605.02, 834.62 and 457.40 is: 630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.02 : 834.62 = 457.40 : x
  2. Step 2: Convert to fraction form
    605.02/834.62 = 457.40/x
  3. Step 3: Cross multiply
    605.02x = 834.62 × 457.40
  4. Step 4: Simplify right side
    605.02x = 381,755.19
  5. Step 5: Solve for x
    x = 381,755.19/605.02
  6. Step 6: Final answer
    x = 630.98

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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.