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Finding the Fourth Proportional to 380.16, 524.80 and 282.24

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Solution

The fourth proportional to 380.16, 524.80 and 282.24 is: 389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 524.80 = 282.24 : x
  2. Step 2: Convert to fraction form
    380.16/524.80 = 282.24/x
  3. Step 3: Cross multiply
    380.16x = 524.80 × 282.24
  4. Step 4: Simplify right side
    380.16x = 148,119.55
  5. Step 5: Solve for x
    x = 148,119.55/380.16
  6. Step 6: Final answer
    x = 389.62

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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.