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Finding the Fourth Proportional to 364.72, 546.96 and 304.24

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Solution

The fourth proportional to 364.72, 546.96 and 304.24 is: 456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.72 : 546.96 = 304.24 : x
  2. Step 2: Convert to fraction form
    364.72/546.96 = 304.24/x
  3. Step 3: Cross multiply
    364.72x = 546.96 × 304.24
  4. Step 4: Simplify right side
    364.72x = 166,407.11
  5. Step 5: Solve for x
    x = 166,407.11/364.72
  6. Step 6: Final answer
    x = 456.26

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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.