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Finding the Fourth Proportional to 536.01, 803.62 and 362.24

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Solution

The fourth proportional to 536.01, 803.62 and 362.24 is: 543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.01 : 803.62 = 362.24 : x
  2. Step 2: Convert to fraction form
    536.01/803.62 = 362.24/x
  3. Step 3: Cross multiply
    536.01x = 803.62 × 362.24
  4. Step 4: Simplify right side
    536.01x = 291,103.31
  5. Step 5: Solve for x
    x = 291,103.31/536.01
  6. Step 6: Final answer
    x = 543.09

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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.