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Finding the Fourth Proportional to 462.74, 638.03 and 384.14

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Solution

The fourth proportional to 462.74, 638.03 and 384.14 is: 529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.74 : 638.03 = 384.14 : x
  2. Step 2: Convert to fraction form
    462.74/638.03 = 384.14/x
  3. Step 3: Cross multiply
    462.74x = 638.03 × 384.14
  4. Step 4: Simplify right side
    462.74x = 245,095.40
  5. Step 5: Solve for x
    x = 245,095.40/462.74
  6. Step 6: Final answer
    x = 529.67

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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.