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Finding the Fourth Proportional to 467, 644.64 and 283

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Solution

The fourth proportional to 467, 644.64 and 283 is: 390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467 : 644.64 = 283 : x
  2. Step 2: Convert to fraction form
    467/644.64 = 283/x
  3. Step 3: Cross multiply
    467x = 644.64 × 283
  4. Step 4: Simplify right side
    467x = 182,433.12
  5. Step 5: Solve for x
    x = 182,433.12/467
  6. Step 6: Final answer
    x = 390.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.