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Finding the Fourth Proportional to 604.76, 834.57 and 356.00

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Solution

The fourth proportional to 604.76, 834.57 and 356.00 is: 491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 834.57 = 356.00 : x
  2. Step 2: Convert to fraction form
    604.76/834.57 = 356.00/x
  3. Step 3: Cross multiply
    604.76x = 834.57 × 356.00
  4. Step 4: Simplify right side
    604.76x = 297,102.75
  5. Step 5: Solve for x
    x = 297,102.75/604.76
  6. Step 6: Final answer
    x = 491.28

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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.