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Finding the Fourth Proportional to 537.83, 805.70 and 456.47

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Solution

The fourth proportional to 537.83, 805.70 and 456.47 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.83 : 805.70 = 456.47 : x
  2. Step 2: Convert to fraction form
    537.83/805.70 = 456.47/x
  3. Step 3: Cross multiply
    537.83x = 805.70 × 456.47
  4. Step 4: Simplify right side
    537.83x = 367,773.85
  5. Step 5: Solve for x
    x = 367,773.85/537.83
  6. Step 6: Final answer
    x = 683.82

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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.