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Finding the Fourth Proportional to 547.65, 821.07 and 258.75

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Solution

The fourth proportional to 547.65, 821.07 and 258.75 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.65 : 821.07 = 258.75 : x
  2. Step 2: Convert to fraction form
    547.65/821.07 = 258.75/x
  3. Step 3: Cross multiply
    547.65x = 821.07 × 258.75
  4. Step 4: Simplify right side
    547.65x = 212,451.86
  5. Step 5: Solve for x
    x = 212,451.86/547.65
  6. Step 6: Final answer
    x = 387.93

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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.