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Finding the Fourth Proportional to 463.64, 640.63 and 364.84

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Solution

The fourth proportional to 463.64, 640.63 and 364.84 is: 504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.64 : 640.63 = 364.84 : x
  2. Step 2: Convert to fraction form
    463.64/640.63 = 364.84/x
  3. Step 3: Cross multiply
    463.64x = 640.63 × 364.84
  4. Step 4: Simplify right side
    463.64x = 233,728.02
  5. Step 5: Solve for x
    x = 233,728.02/463.64
  6. Step 6: Final answer
    x = 504.12

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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.