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Finding the Fourth Proportional to 463.69, 639.93 and 289

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Solution

The fourth proportional to 463.69, 639.93 and 289 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.69 : 639.93 = 289 : x
  2. Step 2: Convert to fraction form
    463.69/639.93 = 289/x
  3. Step 3: Cross multiply
    463.69x = 639.93 × 289
  4. Step 4: Simplify right side
    463.69x = 184,939.77
  5. Step 5: Solve for x
    x = 184,939.77/463.69
  6. Step 6: Final answer
    x = 398.84

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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.