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Finding the Fourth Proportional to 547.02, 816.18 and 508.30

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Solution

The fourth proportional to 547.02, 816.18 and 508.30 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 816.18 = 508.30 : x
  2. Step 2: Convert to fraction form
    547.02/816.18 = 508.30/x
  3. Step 3: Cross multiply
    547.02x = 816.18 × 508.30
  4. Step 4: Simplify right side
    547.02x = 414,861.75
  5. Step 5: Solve for x
    x = 414,861.75/547.02
  6. Step 6: Final answer
    x = 758.41

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Why These Related Problems?

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