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Finding the Fourth Proportional to 655.57, 904.66 and 356.81

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Solution

The fourth proportional to 655.57, 904.66 and 356.81 is: 492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.57 : 904.66 = 356.81 : x
  2. Step 2: Convert to fraction form
    655.57/904.66 = 356.81/x
  3. Step 3: Cross multiply
    655.57x = 904.66 × 356.81
  4. Step 4: Simplify right side
    655.57x = 322,791.73
  5. Step 5: Solve for x
    x = 322,791.73/655.57
  6. Step 6: Final answer
    x = 492.38

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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.