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Finding the Fourth Proportional to 605.28, 834.12 and 430.32

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Solution

The fourth proportional to 605.28, 834.12 and 430.32 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.28 : 834.12 = 430.32 : x
  2. Step 2: Convert to fraction form
    605.28/834.12 = 430.32/x
  3. Step 3: Cross multiply
    605.28x = 834.12 × 430.32
  4. Step 4: Simplify right side
    605.28x = 358,938.52
  5. Step 5: Solve for x
    x = 358,938.52/605.28
  6. Step 6: Final answer
    x = 593.01

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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.