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Finding the Fourth Proportional to 364.92, 543.48 and 360.60

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Solution

The fourth proportional to 364.92, 543.48 and 360.60 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 543.48 = 360.60 : x
  2. Step 2: Convert to fraction form
    364.92/543.48 = 360.60/x
  3. Step 3: Cross multiply
    364.92x = 543.48 × 360.60
  4. Step 4: Simplify right side
    364.92x = 195,978.89
  5. Step 5: Solve for x
    x = 195,978.89/364.92
  6. Step 6: Final answer
    x = 537.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.