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Finding the Fourth Proportional to 604.77, 834.57 and 356.10

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Solution

The fourth proportional to 604.77, 834.57 and 356.10 is: 491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.77 : 834.57 = 356.10 : x
  2. Step 2: Convert to fraction form
    604.77/834.57 = 356.10/x
  3. Step 3: Cross multiply
    604.77x = 834.57 × 356.10
  4. Step 4: Simplify right side
    604.77x = 297,190.38
  5. Step 5: Solve for x
    x = 297,190.38/604.77
  6. Step 6: Final answer
    x = 491.41

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1.5x scale

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.