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Finding the Fourth Proportional to 543.60, 815.58 and 361.44

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Solution

The fourth proportional to 543.60, 815.58 and 361.44 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 815.58 = 361.44 : x
  2. Step 2: Convert to fraction form
    543.60/815.58 = 361.44/x
  3. Step 3: Cross multiply
    543.60x = 815.58 × 361.44
  4. Step 4: Simplify right side
    543.60x = 294,783.24
  5. Step 5: Solve for x
    x = 294,783.24/543.60
  6. Step 6: Final answer
    x = 542.28

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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.