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Finding the Fourth Proportional to 547.20, 820.98 and 303.66

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Solution

The fourth proportional to 547.20, 820.98 and 303.66 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 820.98 = 303.66 : x
  2. Step 2: Convert to fraction form
    547.20/820.98 = 303.66/x
  3. Step 3: Cross multiply
    547.20x = 820.98 × 303.66
  4. Step 4: Simplify right side
    547.20x = 249,298.79
  5. Step 5: Solve for x
    x = 249,298.79/547.20
  6. Step 6: Final answer
    x = 455.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.