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Finding the Fourth Proportional to 368.72, 552.32 and 282.12

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Solution

The fourth proportional to 368.72, 552.32 and 282.12 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.72 : 552.32 = 282.12 : x
  2. Step 2: Convert to fraction form
    368.72/552.32 = 282.12/x
  3. Step 3: Cross multiply
    368.72x = 552.32 × 282.12
  4. Step 4: Simplify right side
    368.72x = 155,820.52
  5. Step 5: Solve for x
    x = 155,820.52/368.72
  6. Step 6: Final answer
    x = 422.60

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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.