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Finding the Fourth Proportional to 536.24, 803.90 and 362.43

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Solution

The fourth proportional to 536.24, 803.90 and 362.43 is: 543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 803.90 = 362.43 : x
  2. Step 2: Convert to fraction form
    536.24/803.90 = 362.43/x
  3. Step 3: Cross multiply
    536.24x = 803.90 × 362.43
  4. Step 4: Simplify right side
    536.24x = 291,358.38
  5. Step 5: Solve for x
    x = 291,358.38/536.24
  6. Step 6: Final answer
    x = 543.33

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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.