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Finding the Fourth Proportional to 364.68, 547.89 and 305.13

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Solution

The fourth proportional to 364.68, 547.89 and 305.13 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 547.89 = 305.13 : x
  2. Step 2: Convert to fraction form
    364.68/547.89 = 305.13/x
  3. Step 3: Cross multiply
    364.68x = 547.89 × 305.13
  4. Step 4: Simplify right side
    364.68x = 167,177.68
  5. Step 5: Solve for x
    x = 167,177.68/364.68
  6. Step 6: Final answer
    x = 458.42

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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.