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Finding the Fourth Proportional to 537.51, 805.86 and 212.70

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Solution

The fourth proportional to 537.51, 805.86 and 212.70 is: 318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.51 : 805.86 = 212.70 : x
  2. Step 2: Convert to fraction form
    537.51/805.86 = 212.70/x
  3. Step 3: Cross multiply
    537.51x = 805.86 × 212.70
  4. Step 4: Simplify right side
    537.51x = 171,406.42
  5. Step 5: Solve for x
    x = 171,406.42/537.51
  6. Step 6: Final answer
    x = 318.89

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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.