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Finding the Fourth Proportional to 365.48, 504.58 and 282.42

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Solution

The fourth proportional to 365.48, 504.58 and 282.42 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.48 : 504.58 = 282.42 : x
  2. Step 2: Convert to fraction form
    365.48/504.58 = 282.42/x
  3. Step 3: Cross multiply
    365.48x = 504.58 × 282.42
  4. Step 4: Simplify right side
    365.48x = 142,503.48
  5. Step 5: Solve for x
    x = 142,503.48/365.48
  6. Step 6: Final answer
    x = 389.91

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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.