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Finding the Fourth Proportional to 364.59, 546.93 and 243.09

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Solution

The fourth proportional to 364.59, 546.93 and 243.09 is: 364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 546.93 = 243.09 : x
  2. Step 2: Convert to fraction form
    364.59/546.93 = 243.09/x
  3. Step 3: Cross multiply
    364.59x = 546.93 × 243.09
  4. Step 4: Simplify right side
    364.59x = 132,953.21
  5. Step 5: Solve for x
    x = 132,953.21/364.59
  6. Step 6: Final answer
    x = 364.67

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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.