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Finding the Fourth Proportional to 289.51, 433.72 and 257.11

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Solution

The fourth proportional to 289.51, 433.72 and 257.11 is: 385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 433.72 = 257.11 : x
  2. Step 2: Convert to fraction form
    289.51/433.72 = 257.11/x
  3. Step 3: Cross multiply
    289.51x = 433.72 × 257.11
  4. Step 4: Simplify right side
    289.51x = 111,513.75
  5. Step 5: Solve for x
    x = 111,513.75/289.51
  6. Step 6: Final answer
    x = 385.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.