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Finding the Fourth Proportional to 463.81, 640.07 and 256.81

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Solution

The fourth proportional to 463.81, 640.07 and 256.81 is: 354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.81 : 640.07 = 256.81 : x
  2. Step 2: Convert to fraction form
    463.81/640.07 = 256.81/x
  3. Step 3: Cross multiply
    463.81x = 640.07 × 256.81
  4. Step 4: Simplify right side
    463.81x = 164,376.38
  5. Step 5: Solve for x
    x = 164,376.38/463.81
  6. Step 6: Final answer
    x = 354.40

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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.