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Finding the Fourth Proportional to 536.54, 803.77 and 353.39

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Solution

The fourth proportional to 536.54, 803.77 and 353.39 is: 529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.54 : 803.77 = 353.39 : x
  2. Step 2: Convert to fraction form
    536.54/803.77 = 353.39/x
  3. Step 3: Cross multiply
    536.54x = 803.77 × 353.39
  4. Step 4: Simplify right side
    536.54x = 284,040.26
  5. Step 5: Solve for x
    x = 284,040.26/536.54
  6. Step 6: Final answer
    x = 529.39

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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.