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Finding the Fourth Proportional to 655.83, 905.07 and 434.85

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Solution

The fourth proportional to 655.83, 905.07 and 434.85 is: 600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.83 : 905.07 = 434.85 : x
  2. Step 2: Convert to fraction form
    655.83/905.07 = 434.85/x
  3. Step 3: Cross multiply
    655.83x = 905.07 × 434.85
  4. Step 4: Simplify right side
    655.83x = 393,569.69
  5. Step 5: Solve for x
    x = 393,569.69/655.83
  6. Step 6: Final answer
    x = 600.11

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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.