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Finding the Fourth Proportional to 537.49, 804.72 and 354.34

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Solution

The fourth proportional to 537.49, 804.72 and 354.34 is: 530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.49 : 804.72 = 354.34 : x
  2. Step 2: Convert to fraction form
    537.49/804.72 = 354.34/x
  3. Step 3: Cross multiply
    537.49x = 804.72 × 354.34
  4. Step 4: Simplify right side
    537.49x = 285,144.48
  5. Step 5: Solve for x
    x = 285,144.48/537.49
  6. Step 6: Final answer
    x = 530.51

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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.