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Finding the Fourth Proportional to 547.05, 821.16 and 303.51

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Solution

The fourth proportional to 547.05, 821.16 and 303.51 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 821.16 = 303.51 : x
  2. Step 2: Convert to fraction form
    547.05/821.16 = 303.51/x
  3. Step 3: Cross multiply
    547.05x = 821.16 × 303.51
  4. Step 4: Simplify right side
    547.05x = 249,230.27
  5. Step 5: Solve for x
    x = 249,230.27/547.05
  6. Step 6: Final answer
    x = 455.59

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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.