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Finding the Fourth Proportional to 537.83, 805.37 and 354.66

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Solution

The fourth proportional to 537.83, 805.37 and 354.66 is: 531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.83 : 805.37 = 354.66 : x
  2. Step 2: Convert to fraction form
    537.83/805.37 = 354.66/x
  3. Step 3: Cross multiply
    537.83x = 805.37 × 354.66
  4. Step 4: Simplify right side
    537.83x = 285,630.75
  5. Step 5: Solve for x
    x = 285,630.75/537.83
  6. Step 6: Final answer
    x = 531.08

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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.