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Finding the Fourth Proportional to 365.10, 543.53 and 362.94

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Solution

The fourth proportional to 365.10, 543.53 and 362.94 is: 540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 543.53 = 362.94 : x
  2. Step 2: Convert to fraction form
    365.10/543.53 = 362.94/x
  3. Step 3: Cross multiply
    365.10x = 543.53 × 362.94
  4. Step 4: Simplify right side
    365.10x = 197,266.96
  5. Step 5: Solve for x
    x = 197,266.96/365.10
  6. Step 6: Final answer
    x = 540.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.