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Finding the Fourth Proportional to 537.72, 807.02 and 213.32

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Solution

The fourth proportional to 537.72, 807.02 and 213.32 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 807.02 = 213.32 : x
  2. Step 2: Convert to fraction form
    537.72/807.02 = 213.32/x
  3. Step 3: Cross multiply
    537.72x = 807.02 × 213.32
  4. Step 4: Simplify right side
    537.72x = 172,153.51
  5. Step 5: Solve for x
    x = 172,153.51/537.72
  6. Step 6: Final answer
    x = 320.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.