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Finding the Fourth Proportional to 364.42, 546.57 and 303.12

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Solution

The fourth proportional to 364.42, 546.57 and 303.12 is: 454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 546.57 = 303.12 : x
  2. Step 2: Convert to fraction form
    364.42/546.57 = 303.12/x
  3. Step 3: Cross multiply
    364.42x = 546.57 × 303.12
  4. Step 4: Simplify right side
    364.42x = 165,676.30
  5. Step 5: Solve for x
    x = 165,676.30/364.42
  6. Step 6: Final answer
    x = 454.63

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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.