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Finding the Fourth Proportional to 547.11, 816.32 and 500.13

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Solution

The fourth proportional to 547.11, 816.32 and 500.13 is: 746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.11 : 816.32 = 500.13 : x
  2. Step 2: Convert to fraction form
    547.11/816.32 = 500.13/x
  3. Step 3: Cross multiply
    547.11x = 816.32 × 500.13
  4. Step 4: Simplify right side
    547.11x = 408,267.37
  5. Step 5: Solve for x
    x = 408,267.37/547.11
  6. Step 6: Final answer
    x = 746.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.