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Finding the Fourth Proportional to 364.64, 545.87 and 241.01

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Solution

The fourth proportional to 364.64, 545.87 and 241.01 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.64 : 545.87 = 241.01 : x
  2. Step 2: Convert to fraction form
    364.64/545.87 = 241.01/x
  3. Step 3: Cross multiply
    364.64x = 545.87 × 241.01
  4. Step 4: Simplify right side
    364.64x = 131,558.00
  5. Step 5: Solve for x
    x = 131,558.00/364.64
  6. Step 6: Final answer
    x = 360.79

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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.