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Finding the Fourth Proportional to 362.48, 546.55 and 357.92

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Solution

The fourth proportional to 362.48, 546.55 and 357.92 is: 539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.48 : 546.55 = 357.92 : x
  2. Step 2: Convert to fraction form
    362.48/546.55 = 357.92/x
  3. Step 3: Cross multiply
    362.48x = 546.55 × 357.92
  4. Step 4: Simplify right side
    362.48x = 195,619.60
  5. Step 5: Solve for x
    x = 195,619.60/362.48
  6. Step 6: Final answer
    x = 539.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.