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Finding the Fourth Proportional to 365.72, 505.34 and 292.64

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Solution

The fourth proportional to 365.72, 505.34 and 292.64 is: 404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.72 : 505.34 = 292.64 : x
  2. Step 2: Convert to fraction form
    365.72/505.34 = 292.64/x
  3. Step 3: Cross multiply
    365.72x = 505.34 × 292.64
  4. Step 4: Simplify right side
    365.72x = 147,878.71
  5. Step 5: Solve for x
    x = 147,878.71/365.72
  6. Step 6: Final answer
    x = 404.36

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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.