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Finding the Fourth Proportional to 463.03, 638.98 and 288.38

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Solution

The fourth proportional to 463.03, 638.98 and 288.38 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.03 : 638.98 = 288.38 : x
  2. Step 2: Convert to fraction form
    463.03/638.98 = 288.38/x
  3. Step 3: Cross multiply
    463.03x = 638.98 × 288.38
  4. Step 4: Simplify right side
    463.03x = 184,266.76
  5. Step 5: Solve for x
    x = 184,266.76/463.03
  6. Step 6: Final answer
    x = 397.96

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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.