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Finding the Fourth Proportional to 546.48, 818.46 and 353.52

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Solution

The fourth proportional to 546.48, 818.46 and 353.52 is: 529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 818.46 = 353.52 : x
  2. Step 2: Convert to fraction form
    546.48/818.46 = 353.52/x
  3. Step 3: Cross multiply
    546.48x = 818.46 × 353.52
  4. Step 4: Simplify right side
    546.48x = 289,341.98
  5. Step 5: Solve for x
    x = 289,341.98/546.48
  6. Step 6: Final answer
    x = 529.46

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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.