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Finding the Fourth Proportional to 537.04, 804.52 and 353.89

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Solution

The fourth proportional to 537.04, 804.52 and 353.89 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.04 : 804.52 = 353.89 : x
  2. Step 2: Convert to fraction form
    537.04/804.52 = 353.89/x
  3. Step 3: Cross multiply
    537.04x = 804.52 × 353.89
  4. Step 4: Simplify right side
    537.04x = 284,707.56
  5. Step 5: Solve for x
    x = 284,707.56/537.04
  6. Step 6: Final answer
    x = 530.14

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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.