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Finding the Fourth Proportional to 629.66, 944.62 and 282.82

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Solution

The fourth proportional to 629.66, 944.62 and 282.82 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.66 : 944.62 = 282.82 : x
  2. Step 2: Convert to fraction form
    629.66/944.62 = 282.82/x
  3. Step 3: Cross multiply
    629.66x = 944.62 × 282.82
  4. Step 4: Simplify right side
    629.66x = 267,152.71
  5. Step 5: Solve for x
    x = 267,152.71/629.66
  6. Step 6: Final answer
    x = 424.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.