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Finding the Fourth Proportional to 289.16, 433.72 and 272.24

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Solution

The fourth proportional to 289.16, 433.72 and 272.24 is: 408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 433.72 = 272.24 : x
  2. Step 2: Convert to fraction form
    289.16/433.72 = 272.24/x
  3. Step 3: Cross multiply
    289.16x = 433.72 × 272.24
  4. Step 4: Simplify right side
    289.16x = 118,075.93
  5. Step 5: Solve for x
    x = 118,075.93/289.16
  6. Step 6: Final answer
    x = 408.34

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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.