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Finding the Fourth Proportional to 362.97, 543.51 and 285.26

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Solution

The fourth proportional to 362.97, 543.51 and 285.26 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.97 : 543.51 = 285.26 : x
  2. Step 2: Convert to fraction form
    362.97/543.51 = 285.26/x
  3. Step 3: Cross multiply
    362.97x = 543.51 × 285.26
  4. Step 4: Simplify right side
    362.97x = 155,038.95
  5. Step 5: Solve for x
    x = 155,038.95/362.97
  6. Step 6: Final answer
    x = 427.14

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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.