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Finding the Fourth Proportional to 655.72, 905.04 and 434.68

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Solution

The fourth proportional to 655.72, 905.04 and 434.68 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.72 : 905.04 = 434.68 : x
  2. Step 2: Convert to fraction form
    655.72/905.04 = 434.68/x
  3. Step 3: Cross multiply
    655.72x = 905.04 × 434.68
  4. Step 4: Simplify right side
    655.72x = 393,402.79
  5. Step 5: Solve for x
    x = 393,402.79/655.72
  6. Step 6: Final answer
    x = 599.96

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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.