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Finding the Fourth Proportional to 397.66, 549.16 and 364.84

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Solution

The fourth proportional to 397.66, 549.16 and 364.84 is: 503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.66 : 549.16 = 364.84 : x
  2. Step 2: Convert to fraction form
    397.66/549.16 = 364.84/x
  3. Step 3: Cross multiply
    397.66x = 549.16 × 364.84
  4. Step 4: Simplify right side
    397.66x = 200,355.53
  5. Step 5: Solve for x
    x = 200,355.53/397.66
  6. Step 6: Final answer
    x = 503.84

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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.