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Finding the Fourth Proportional to 463.56, 639.95 and 288.96

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Solution

The fourth proportional to 463.56, 639.95 and 288.96 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 639.95 = 288.96 : x
  2. Step 2: Convert to fraction form
    463.56/639.95 = 288.96/x
  3. Step 3: Cross multiply
    463.56x = 639.95 × 288.96
  4. Step 4: Simplify right side
    463.56x = 184,918.51
  5. Step 5: Solve for x
    x = 184,918.51/463.56
  6. Step 6: Final answer
    x = 398.91

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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.