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Finding the Fourth Proportional to 398.63, 549.90 and 300.35

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Solution

The fourth proportional to 398.63, 549.90 and 300.35 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.63 : 549.90 = 300.35 : x
  2. Step 2: Convert to fraction form
    398.63/549.90 = 300.35/x
  3. Step 3: Cross multiply
    398.63x = 549.90 × 300.35
  4. Step 4: Simplify right side
    398.63x = 165,159.72
  5. Step 5: Solve for x
    x = 165,159.72/398.63
  6. Step 6: Final answer
    x = 414.32

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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.