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Finding the Fourth Proportional to 358.44, 494.67 and 285.32

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Solution

The fourth proportional to 358.44, 494.67 and 285.32 is: 393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.44 : 494.67 = 285.32 : x
  2. Step 2: Convert to fraction form
    358.44/494.67 = 285.32/x
  3. Step 3: Cross multiply
    358.44x = 494.67 × 285.32
  4. Step 4: Simplify right side
    358.44x = 141,136.77
  5. Step 5: Solve for x
    x = 141,136.77/358.44
  6. Step 6: Final answer
    x = 393.75

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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.