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Finding the Fourth Proportional to 463.23, 638.71 and 404.46

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Solution

The fourth proportional to 463.23, 638.71 and 404.46 is: 557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.23 : 638.71 = 404.46 : x
  2. Step 2: Convert to fraction form
    463.23/638.71 = 404.46/x
  3. Step 3: Cross multiply
    463.23x = 638.71 × 404.46
  4. Step 4: Simplify right side
    463.23x = 258,331.64
  5. Step 5: Solve for x
    x = 258,331.64/463.23
  6. Step 6: Final answer
    x = 557.67

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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.