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Finding the Fourth Proportional to 397.62, 549 and 304.86

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Solution

The fourth proportional to 397.62, 549 and 304.86 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.62 : 549 = 304.86 : x
  2. Step 2: Convert to fraction form
    397.62/549 = 304.86/x
  3. Step 3: Cross multiply
    397.62x = 549 × 304.86
  4. Step 4: Simplify right side
    397.62x = 167,368.14
  5. Step 5: Solve for x
    x = 167,368.14/397.62
  6. Step 6: Final answer
    x = 420.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.