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Finding the Fourth Proportional to 466.98, 645.24 and 384.03

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Solution

The fourth proportional to 466.98, 645.24 and 384.03 is: 530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.98 : 645.24 = 384.03 : x
  2. Step 2: Convert to fraction form
    466.98/645.24 = 384.03/x
  3. Step 3: Cross multiply
    466.98x = 645.24 × 384.03
  4. Step 4: Simplify right side
    466.98x = 247,791.52
  5. Step 5: Solve for x
    x = 247,791.52/466.98
  6. Step 6: Final answer
    x = 530.63

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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.