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Finding the Fourth Proportional to 289.42, 398.14 and 253.81

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Solution

The fourth proportional to 289.42, 398.14 and 253.81 is: 349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 398.14 = 253.81 : x
  2. Step 2: Convert to fraction form
    289.42/398.14 = 253.81/x
  3. Step 3: Cross multiply
    289.42x = 398.14 × 253.81
  4. Step 4: Simplify right side
    289.42x = 101,050.64
  5. Step 5: Solve for x
    x = 101,050.64/289.42
  6. Step 6: Final answer
    x = 349.15

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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.