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Finding the Fourth Proportional to 547.84, 821.10 and 316.25

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Solution

The fourth proportional to 547.84, 821.10 and 316.25 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 821.10 = 316.25 : x
  2. Step 2: Convert to fraction form
    547.84/821.10 = 316.25/x
  3. Step 3: Cross multiply
    547.84x = 821.10 × 316.25
  4. Step 4: Simplify right side
    547.84x = 259,668.77
  5. Step 5: Solve for x
    x = 259,668.77/547.84
  6. Step 6: Final answer
    x = 473.99

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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.