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Finding the Fourth Proportional to 546.66, 820.35 and 258.12

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Solution

The fourth proportional to 546.66, 820.35 and 258.12 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 820.35 = 258.12 : x
  2. Step 2: Convert to fraction form
    546.66/820.35 = 258.12/x
  3. Step 3: Cross multiply
    546.66x = 820.35 × 258.12
  4. Step 4: Simplify right side
    546.66x = 211,748.74
  5. Step 5: Solve for x
    x = 211,748.74/546.66
  6. Step 6: Final answer
    x = 387.35

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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.