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Finding the Fourth Proportional to 398.69, 549.65 and 299.24

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Solution

The fourth proportional to 398.69, 549.65 and 299.24 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.69 : 549.65 = 299.24 : x
  2. Step 2: Convert to fraction form
    398.69/549.65 = 299.24/x
  3. Step 3: Cross multiply
    398.69x = 549.65 × 299.24
  4. Step 4: Simplify right side
    398.69x = 164,477.14
  5. Step 5: Solve for x
    x = 164,477.14/398.69
  6. Step 6: Final answer
    x = 412.55

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