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Finding the Fourth Proportional to 309.42, 463.52 and 289.37

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Solution

The fourth proportional to 309.42, 463.52 and 289.37 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 463.52 = 289.37 : x
  2. Step 2: Convert to fraction form
    309.42/463.52 = 289.37/x
  3. Step 3: Cross multiply
    309.42x = 463.52 × 289.37
  4. Step 4: Simplify right side
    309.42x = 134,130.66
  5. Step 5: Solve for x
    x = 134,130.66/309.42
  6. Step 6: Final answer
    x = 433.49

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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.