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Finding the Fourth Proportional to 547.76, 820.13 and 303.85

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Solution

The fourth proportional to 547.76, 820.13 and 303.85 is: 454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.76 : 820.13 = 303.85 : x
  2. Step 2: Convert to fraction form
    547.76/820.13 = 303.85/x
  3. Step 3: Cross multiply
    547.76x = 820.13 × 303.85
  4. Step 4: Simplify right side
    547.76x = 249,196.01
  5. Step 5: Solve for x
    x = 249,196.01/547.76
  6. Step 6: Final answer
    x = 454.93

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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.