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Finding the Fourth Proportional to 364.04, 546.42 and 296.36

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Solution

The fourth proportional to 364.04, 546.42 and 296.36 is: 444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.04 : 546.42 = 296.36 : x
  2. Step 2: Convert to fraction form
    364.04/546.42 = 296.36/x
  3. Step 3: Cross multiply
    364.04x = 546.42 × 296.36
  4. Step 4: Simplify right side
    364.04x = 161,937.03
  5. Step 5: Solve for x
    x = 161,937.03/364.04
  6. Step 6: Final answer
    x = 444.83

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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.