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Finding the Fourth Proportional to 605.16, 834.18 and 430.20

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Solution

The fourth proportional to 605.16, 834.18 and 430.20 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 834.18 = 430.20 : x
  2. Step 2: Convert to fraction form
    605.16/834.18 = 430.20/x
  3. Step 3: Cross multiply
    605.16x = 834.18 × 430.20
  4. Step 4: Simplify right side
    605.16x = 358,864.24
  5. Step 5: Solve for x
    x = 358,864.24/605.16
  6. Step 6: Final answer
    x = 593.01

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