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Finding the Fourth Proportional to 546.93, 820.58 and 456.21

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Solution

The fourth proportional to 546.93, 820.58 and 456.21 is: 684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.93 : 820.58 = 456.21 : x
  2. Step 2: Convert to fraction form
    546.93/820.58 = 456.21/x
  3. Step 3: Cross multiply
    546.93x = 820.58 × 456.21
  4. Step 4: Simplify right side
    546.93x = 374,354.52
  5. Step 5: Solve for x
    x = 374,354.52/546.93
  6. Step 6: Final answer
    x = 684.47

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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.