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Finding the Fourth Proportional to 500.91, 750.15 and 364.83

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Solution

The fourth proportional to 500.91, 750.15 and 364.83 is: 546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.91 : 750.15 = 364.83 : x
  2. Step 2: Convert to fraction form
    500.91/750.15 = 364.83/x
  3. Step 3: Cross multiply
    500.91x = 750.15 × 364.83
  4. Step 4: Simplify right side
    500.91x = 273,677.22
  5. Step 5: Solve for x
    x = 273,677.22/500.91
  6. Step 6: Final answer
    x = 546.36

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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.