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Finding the Fourth Proportional to 537.16, 804.12 and 353.98

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Solution

The fourth proportional to 537.16, 804.12 and 353.98 is: 529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.16 : 804.12 = 353.98 : x
  2. Step 2: Convert to fraction form
    537.16/804.12 = 353.98/x
  3. Step 3: Cross multiply
    537.16x = 804.12 × 353.98
  4. Step 4: Simplify right side
    537.16x = 284,642.40
  5. Step 5: Solve for x
    x = 284,642.40/537.16
  6. Step 6: Final answer
    x = 529.90

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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.