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Finding the Fourth Proportional to 604.40, 834.35 and 471.81

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Solution

The fourth proportional to 604.40, 834.35 and 471.81 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 834.35 = 471.81 : x
  2. Step 2: Convert to fraction form
    604.40/834.35 = 471.81/x
  3. Step 3: Cross multiply
    604.40x = 834.35 × 471.81
  4. Step 4: Simplify right side
    604.40x = 393,653.40
  5. Step 5: Solve for x
    x = 393,653.40/604.40
  6. Step 6: Final answer
    x = 651.32

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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.