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Finding the Fourth Proportional to 547.76, 821.65 and 305.83

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Solution

The fourth proportional to 547.76, 821.65 and 305.83 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.76 : 821.65 = 305.83 : x
  2. Step 2: Convert to fraction form
    547.76/821.65 = 305.83/x
  3. Step 3: Cross multiply
    547.76x = 821.65 × 305.83
  4. Step 4: Simplify right side
    547.76x = 251,280.35
  5. Step 5: Solve for x
    x = 251,280.35/547.76
  6. Step 6: Final answer
    x = 458.74

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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.