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Finding the Fourth Proportional to 546.70, 820.14 and 258.13

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Solution

The fourth proportional to 546.70, 820.14 and 258.13 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.70 : 820.14 = 258.13 : x
  2. Step 2: Convert to fraction form
    546.70/820.14 = 258.13/x
  3. Step 3: Cross multiply
    546.70x = 820.14 × 258.13
  4. Step 4: Simplify right side
    546.70x = 211,698.64
  5. Step 5: Solve for x
    x = 211,698.64/546.70
  6. Step 6: Final answer
    x = 387.23

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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.